\hypertarget{group__PLASMA__Complex32__t}{\section{Simple Interface -\/ Single Complex}
\label{group__PLASMA__Complex32__t}\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}}
}
\subsection*{Functions/\-Subroutines}
\begin{DoxyCompactItemize}
\item 
int \hyperlink{group__PLASMA__Complex32__t_gabeb6f33d6e788ac66b06a9603701d43c_gabeb6f33d6e788ac66b06a9603701d43c}{P\-L\-A\-S\-M\-A\-\_\-cgebrd} (int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, float $\ast$D, float $\ast$E, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T)
\item 
\hypertarget{group__PLASMA__Complex32__t_gacfc3fa3422c5abf65fb0ddfd785d7a80_gacfc3fa3422c5abf65fb0ddfd785d7a80}{int {\bfseries L\-A\-P\-A\-C\-K\-\_\-\-G\-L\-O\-B\-A\-L} (clacn2, C\-L\-A\-C\-N2)}\label{group__PLASMA__Complex32__t_gacfc3fa3422c5abf65fb0ddfd785d7a80_gacfc3fa3422c5abf65fb0ddfd785d7a80}

\item 
int \hyperlink{group__PLASMA__Complex32__t_gadab1e78967134c5e784bb80d03760b25_gadab1e78967134c5e784bb80d03760b25}{P\-L\-A\-S\-M\-A\-\_\-cgelqf} (int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gab6c2a5892b81e8ee9740268d06adf9b1_gab6c2a5892b81e8ee9740268d06adf9b1}{P\-L\-A\-S\-M\-A\-\_\-cgelqs} (int M, int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga047c51e0c630ac15b2679b8352013f7b_ga047c51e0c630ac15b2679b8352013f7b}{P\-L\-A\-S\-M\-A\-\_\-cgels} (P\-L\-A\-S\-M\-A\-\_\-enum trans, int M, int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga5505cdf8794ea00c9160d656d2a00ec9_ga5505cdf8794ea00c9160d656d2a00ec9}{P\-L\-A\-S\-M\-A\-\_\-cgemm} (P\-L\-A\-S\-M\-A\-\_\-enum trans\-A, P\-L\-A\-S\-M\-A\-\_\-enum trans\-B, int M, int N, int K, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t beta, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$C, int L\-D\-C)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gae8490d9c587725716adbb347d85537b2_gae8490d9c587725716adbb347d85537b2}{P\-L\-A\-S\-M\-A\-\_\-cgeqrf} (int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga961a4dfc433c5086670b813e5fa53bbf_ga961a4dfc433c5086670b813e5fa53bbf}{P\-L\-A\-S\-M\-A\-\_\-cgeqrs} (int M, int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga5ec3217862ee4b820b9cd9d4b343bfae_ga5ec3217862ee4b820b9cd9d4b343bfae}{P\-L\-A\-S\-M\-A\-\_\-cgesv} (int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, int $\ast$I\-P\-I\-V, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gade54f0cdad2648b241e2701e0e07cbce_gade54f0cdad2648b241e2701e0e07cbce}{P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv} (int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-L, int $\ast$I\-P\-I\-V, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga2c71687d9af24541b259570cb46fbce0_ga2c71687d9af24541b259570cb46fbce0}{P\-L\-A\-S\-M\-A\-\_\-cgesvd} (P\-L\-A\-S\-M\-A\-\_\-enum jobu, P\-L\-A\-S\-M\-A\-\_\-enum jobvt, int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, float $\ast$S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$U, int L\-D\-U, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$V\-T, int L\-D\-V\-T, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga9a372dbe56f1ef00531a284e1bf3a694_ga9a372dbe56f1ef00531a284e1bf3a694}{P\-L\-A\-S\-M\-A\-\_\-cgetrf} (int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, int $\ast$I\-P\-I\-V)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gaaeca906ffb473a1bc1772671fb4f558f_gaaeca906ffb473a1bc1772671fb4f558f}{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv} (int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-L, int $\ast$I\-P\-I\-V)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gaecd124d0a04fc7a679385fd13018fa02_gaecd124d0a04fc7a679385fd13018fa02}{P\-L\-A\-S\-M\-A\-\_\-cgetri} (int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, int $\ast$I\-P\-I\-V)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gaa63ca86deb84eae5320d832f5dffd2fc_gaa63ca86deb84eae5320d832f5dffd2fc}{P\-L\-A\-S\-M\-A\-\_\-cgetrs} (P\-L\-A\-S\-M\-A\-\_\-enum trans, int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, int $\ast$I\-P\-I\-V, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga76f71e3044a34898fcf7f5c8a9522183_ga76f71e3044a34898fcf7f5c8a9522183}{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv} (P\-L\-A\-S\-M\-A\-\_\-enum trans, int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-L, int $\ast$I\-P\-I\-V, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga0d2fe45268be2c3d25593d80dd0c547f_ga0d2fe45268be2c3d25593d80dd0c547f}{P\-L\-A\-S\-M\-A\-\_\-cheev} (P\-L\-A\-S\-M\-A\-\_\-enum jobz, P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, float $\ast$W, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$Q, int L\-D\-Q)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga73b59abe87bcb46382a26a50c70345ad_ga73b59abe87bcb46382a26a50c70345ad}{P\-L\-A\-S\-M\-A\-\_\-cheevd} (P\-L\-A\-S\-M\-A\-\_\-enum jobz, P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, float $\ast$W, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$Q, int L\-D\-Q)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gac4b81a8ac8396c84a27d8a0b719bc379_gac4b81a8ac8396c84a27d8a0b719bc379}{P\-L\-A\-S\-M\-A\-\_\-chegst} (P\-L\-A\-S\-M\-A\-\_\-enum itype, P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga7d0aad7dba26173b3cc6f35a74f6eaf0_ga7d0aad7dba26173b3cc6f35a74f6eaf0}{P\-L\-A\-S\-M\-A\-\_\-chegv} (P\-L\-A\-S\-M\-A\-\_\-enum itype, P\-L\-A\-S\-M\-A\-\_\-enum jobz, P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B, float $\ast$W, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$Q, int L\-D\-Q)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga7c4d8cc52849439d387178748f08d45b_ga7c4d8cc52849439d387178748f08d45b}{P\-L\-A\-S\-M\-A\-\_\-chegvd} (P\-L\-A\-S\-M\-A\-\_\-enum itype, P\-L\-A\-S\-M\-A\-\_\-enum jobz, P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B, float $\ast$W, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$Q, int L\-D\-Q)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga5eccc301c2b8ed5497c8149d002d3ca8_ga5eccc301c2b8ed5497c8149d002d3ca8}{P\-L\-A\-S\-M\-A\-\_\-chemm} (P\-L\-A\-S\-M\-A\-\_\-enum side, P\-L\-A\-S\-M\-A\-\_\-enum uplo, int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t beta, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$C, int L\-D\-C)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga2174f460c8b3a319d83f5890688c53af_ga2174f460c8b3a319d83f5890688c53af}{P\-L\-A\-S\-M\-A\-\_\-cher2k} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, P\-L\-A\-S\-M\-A\-\_\-enum trans, int N, int K, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B, float beta, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$C, int L\-D\-C)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga218b2a902b2a05b10c19161c88b2065a_ga218b2a902b2a05b10c19161c88b2065a}{P\-L\-A\-S\-M\-A\-\_\-cherk} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, P\-L\-A\-S\-M\-A\-\_\-enum trans, int N, int K, float alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, float beta, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$C, int L\-D\-C)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga72efb6e6664acbda79f267c167eae41c_ga72efb6e6664acbda79f267c167eae41c}{P\-L\-A\-S\-M\-A\-\_\-chetrd} (P\-L\-A\-S\-M\-A\-\_\-enum jobz, P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, float $\ast$D, float $\ast$E, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$Q, int L\-D\-Q)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga898cba57b9144416a37de9c72386c58a_ga898cba57b9144416a37de9c72386c58a}{P\-L\-A\-S\-M\-A\-\_\-clacpy} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
float \hyperlink{group__PLASMA__Complex32__t_ga4520d4c444c0e4966fe0d261b175c3cd_ga4520d4c444c0e4966fe0d261b175c3cd}{P\-L\-A\-S\-M\-A\-\_\-clange} (P\-L\-A\-S\-M\-A\-\_\-enum norm, int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, float $\ast$work)
\item 
float \hyperlink{group__PLASMA__Complex32__t_gaf609bd2319064273abdfacf8c733340f_gaf609bd2319064273abdfacf8c733340f}{P\-L\-A\-S\-M\-A\-\_\-clanhe} (P\-L\-A\-S\-M\-A\-\_\-enum norm, P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, float $\ast$work)
\item 
float \hyperlink{group__PLASMA__Complex32__t_ga4c705dba935087686f8fdaa1e676b9f8_ga4c705dba935087686f8fdaa1e676b9f8}{P\-L\-A\-S\-M\-A\-\_\-clansy} (P\-L\-A\-S\-M\-A\-\_\-enum norm, P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, float $\ast$work)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gabe5cbe444d3395d525dad261b92295f0_gabe5cbe444d3395d525dad261b92295f0}{P\-L\-A\-S\-M\-A\-\_\-claset} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t beta, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gace22856d1d438d8d04c90b7423eac23c_gace22856d1d438d8d04c90b7423eac23c}{P\-L\-A\-S\-M\-A\-\_\-claswp} (int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, int K1, int K2, int $\ast$I\-P\-I\-V, int I\-N\-C\-X)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gae439a74f48cce6f172f129f5e761b089_gae439a74f48cce6f172f129f5e761b089}{P\-L\-A\-S\-M\-A\-\_\-claswpc} (int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, int K1, int K2, int $\ast$I\-P\-I\-V, int I\-N\-C\-X)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga937589f5f8ae6b95a4e81589f5471d3e_ga937589f5f8ae6b95a4e81589f5471d3e}{P\-L\-A\-S\-M\-A\-\_\-clauum} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gab2e8cb228186ddf8555009ee5b678b1c_gab2e8cb228186ddf8555009ee5b678b1c}{P\-L\-A\-S\-M\-A\-\_\-cplghe} (float bump, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, unsigned long long int seed)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga3fc244eb71f8484ede01d0a8fb8b7243_ga3fc244eb71f8484ede01d0a8fb8b7243}{P\-L\-A\-S\-M\-A\-\_\-cplgsy} (P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t bump, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, unsigned long long int seed)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gadc1ab86fbc4e1acd67411bcf7d18ccc1_gadc1ab86fbc4e1acd67411bcf7d18ccc1}{P\-L\-A\-S\-M\-A\-\_\-cplrnt} (int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, unsigned long long int seed)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gacb9e52ca26891e283878a10c6b7f24b7_gacb9e52ca26891e283878a10c6b7f24b7}{P\-L\-A\-S\-M\-A\-\_\-cposv} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga9a02052646386252f5b41c09c8d18684_ga9a02052646386252f5b41c09c8d18684}{P\-L\-A\-S\-M\-A\-\_\-cpotrf} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga2bbe242c5e06f243640fb6287b4a85ab_ga2bbe242c5e06f243640fb6287b4a85ab}{P\-L\-A\-S\-M\-A\-\_\-cpotri} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gaf429b7116507625912226d3c91bdfecc_gaf429b7116507625912226d3c91bdfecc}{P\-L\-A\-S\-M\-A\-\_\-cpotrs} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gac62cd0bd5b290a074c3af371972266a4_gac62cd0bd5b290a074c3af371972266a4}{P\-L\-A\-S\-M\-A\-\_\-csymm} (P\-L\-A\-S\-M\-A\-\_\-enum side, P\-L\-A\-S\-M\-A\-\_\-enum uplo, int M, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t beta, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$C, int L\-D\-C)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga5a48c1ff1b73920651249deb75b9d0b7_ga5a48c1ff1b73920651249deb75b9d0b7}{P\-L\-A\-S\-M\-A\-\_\-csyr2k} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, P\-L\-A\-S\-M\-A\-\_\-enum trans, int N, int K, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t beta, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$C, int L\-D\-C)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gad7bae1673afbf5b73da18c20f376cb89_gad7bae1673afbf5b73da18c20f376cb89}{P\-L\-A\-S\-M\-A\-\_\-csyrk} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, P\-L\-A\-S\-M\-A\-\_\-enum trans, int N, int K, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t beta, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$C, int L\-D\-C)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga17234cfdde42bd11866b3435a9a8295a_ga17234cfdde42bd11866b3435a9a8295a}{P\-L\-A\-S\-M\-A\-\_\-ctrmm} (P\-L\-A\-S\-M\-A\-\_\-enum side, P\-L\-A\-S\-M\-A\-\_\-enum uplo, P\-L\-A\-S\-M\-A\-\_\-enum trans\-A, P\-L\-A\-S\-M\-A\-\_\-enum diag, int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga59907687253f7978f60e1d56d6fe941c_ga59907687253f7978f60e1d56d6fe941c}{P\-L\-A\-S\-M\-A\-\_\-ctrsm} (P\-L\-A\-S\-M\-A\-\_\-enum side, P\-L\-A\-S\-M\-A\-\_\-enum uplo, P\-L\-A\-S\-M\-A\-\_\-enum trans\-A, P\-L\-A\-S\-M\-A\-\_\-enum diag, int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga09e57f11d290244163f0dd6ede7952d5_ga09e57f11d290244163f0dd6ede7952d5}{P\-L\-A\-S\-M\-A\-\_\-ctrsmpl} (int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-L, int $\ast$I\-P\-I\-V, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga4932d66d31f7970a6cab8381d373eb12_ga4932d66d31f7970a6cab8381d373eb12}{P\-L\-A\-S\-M\-A\-\_\-ctrsmrv} (P\-L\-A\-S\-M\-A\-\_\-enum side, P\-L\-A\-S\-M\-A\-\_\-enum uplo, P\-L\-A\-S\-M\-A\-\_\-enum trans\-A, P\-L\-A\-S\-M\-A\-\_\-enum diag, int N, int N\-R\-H\-S, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t alpha, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$B, int L\-D\-B)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga25e718997c7c1fd6f599d7b3a04fddad_ga25e718997c7c1fd6f599d7b3a04fddad}{P\-L\-A\-S\-M\-A\-\_\-ctrtri} (P\-L\-A\-S\-M\-A\-\_\-enum uplo, P\-L\-A\-S\-M\-A\-\_\-enum diag, int N, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gad8f450a6bb48fac4dc912211fef0e912_gad8f450a6bb48fac4dc912211fef0e912}{P\-L\-A\-S\-M\-A\-\_\-cunglq} (int M, int N, int K, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$Q, int L\-D\-Q)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga6c696165c8c276260ba80eff16e4d291_ga6c696165c8c276260ba80eff16e4d291}{P\-L\-A\-S\-M\-A\-\_\-cungqr} (int M, int N, int K, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$Q, int L\-D\-Q)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gac9aca2d8444a6e5630fe4674505a2afd_gac9aca2d8444a6e5630fe4674505a2afd}{P\-L\-A\-S\-M\-A\-\_\-cunmlq} (P\-L\-A\-S\-M\-A\-\_\-enum side, P\-L\-A\-S\-M\-A\-\_\-enum trans, int M, int N, int K, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$C, int L\-D\-C)
\item 
int \hyperlink{group__PLASMA__Complex32__t_gac4f6c16a5e7d9bc92ec6addcaa42bad1_gac4f6c16a5e7d9bc92ec6addcaa42bad1}{P\-L\-A\-S\-M\-A\-\_\-cunmqr} (P\-L\-A\-S\-M\-A\-\_\-enum side, P\-L\-A\-S\-M\-A\-\_\-enum trans, int M, int N, int K, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$A, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$desc\-T, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$C, int L\-D\-C)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga44c99c1388a7830a6efbc4fc1ab328f3_ga44c99c1388a7830a6efbc4fc1ab328f3}{P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile} (P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$Af77, int L\-D\-A, \hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$A)
\item 
int \hyperlink{group__PLASMA__Complex32__t_ga7dce142b920d792a0443efcc922c71fc_ga7dce142b920d792a0443efcc922c71fc}{P\-L\-A\-S\-M\-A\-\_\-c\-Tile\-\_\-to\-\_\-\-Lapack} (\hyperlink{structplasma__desc__t}{P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$A, P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$Af77, int L\-D\-A)
\end{DoxyCompactItemize}


\subsection{Detailed Description}
This is the group of single complex functions using the simple user interface. 

\subsection{Function/\-Subroutine Documentation}
\hypertarget{group__PLASMA__Complex32__t_gabeb6f33d6e788ac66b06a9603701d43c_gabeb6f33d6e788ac66b06a9603701d43c}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgebrd@{P\-L\-A\-S\-M\-A\-\_\-cgebrd}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgebrd@{P\-L\-A\-S\-M\-A\-\_\-cgebrd}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgebrd}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgebrd (
\begin{DoxyParamCaption}
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{float $\ast$}]{D, }
\item[{float $\ast$}]{E, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gabeb6f33d6e788ac66b06a9603701d43c_gabeb6f33d6e788ac66b06a9603701d43c}
P\-L\-A\-S\-M\-A\-\_\-cgebrd -\/ reduces a general complex M-\/by-\/\-N matrix A to upper or lower bidiagonal form B using a two-\/stage approach First stage\-: reduction to band bidiagonal form (orthogonal matrices Q1 and P1); Second stage\-: reduction from band to bidiagonal form (orthogonal matrices Q2 and P2). Let Q = Q1 $\ast$ Q2 be the global left unitary transformation; Let P = P1 $\ast$ P2 be the global right unitary transformation; Q$\ast$$\ast$\-H $\ast$ A $\ast$ P = B. If M $>$= N, B is upper bidiagonal; if M $<$ N, B is lower bidiagonal. Not L\-A\-P\-A\-C\-K Compliant for now! Note\-: T is incomplete and contains only the block reflectors of the first stage. Therefore, Q and P can not be built completely.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the M-\/by-\/\-N matrix A. On exit, if M $>$= N, the diagonal and the first superdiagonal are overwritten with the upper bidiagonal matrix B; the elements below the diagonal, with the array T, represent the unitary matrix Q as a product of elementary reflectors, and the elements above the first superdiagonal, with the array T, represent the unitary matrix P as a product of elementary reflectors; if M $<$ N, the diagonal and the first subdiagonal are overwritten with the lower bidiagonal matrix B; the elements below the first subdiagonal, with the array T, represent the unitary matrix Q as a product of elementary reflectors, and the elements above the diagonal, with the array T, represent the unitary matrix P as a product of elementary reflectors.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt out}  & {\em D} & On exit, the diagonal elements of the bidiagonal matrix\-: D(i) = A(i,i). Dimension (min(\-M,\-N)).\\
\hline
\mbox{\tt out}  & {\em E} & On exit, the off-\/diagonal elements of the bidiagonal matrix\-: if M $>$= N, E(i) = A(i,i+1) for i = 1,2,...,N-\/1; if M $<$ N, E(i) = A(i+1,i) for i = 1,2,...,M-\/1. Dimension (min(\-M,\-N)-\/1).\\
\hline
\mbox{\tt out}  & {\em desc\-T} & On entry, descriptor as return by P\-L\-A\-S\-M\-A\-\_\-\-Alloc\-\_\-\-Workspace\-\_\-cgesvd On exit, contains auxiliary factorization data.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaaccb9c972732bd924bddb135b47b5568_gaaccb9c972732bd924bddb135b47b5568}{P\-L\-A\-S\-M\-A\-\_\-cgebrd\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga68512a372e6fb2ca6fdc89a3ad479b50_ga68512a372e6fb2ca6fdc89a3ad479b50}{P\-L\-A\-S\-M\-A\-\_\-cgebrd\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gabeb6f33d6e788ac66b06a9603701d43c_gabeb6f33d6e788ac66b06a9603701d43c}{P\-L\-A\-S\-M\-A\-\_\-cgebrd} 

\hyperlink{group__double_ga8d1eafa453f15e7db35e9f86b1efc599_ga8d1eafa453f15e7db35e9f86b1efc599}{P\-L\-A\-S\-M\-A\-\_\-dgebrd} 

\hyperlink{group__float_ga89adf36f43f20bcc2e6911cd9d9538d6_ga89adf36f43f20bcc2e6911cd9d9538d6}{P\-L\-A\-S\-M\-A\-\_\-sgebrd} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gadab1e78967134c5e784bb80d03760b25_gadab1e78967134c5e784bb80d03760b25}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgelqf@{P\-L\-A\-S\-M\-A\-\_\-cgelqf}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgelqf@{P\-L\-A\-S\-M\-A\-\_\-cgelqf}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgelqf}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgelqf (
\begin{DoxyParamCaption}
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gadab1e78967134c5e784bb80d03760b25_gadab1e78967134c5e784bb80d03760b25}
P\-L\-A\-S\-M\-A\-\_\-cgelqf -\/ Computes the tile L\-Q factorization of a complex M-\/by-\/\-N matrix A\-: A = L $\ast$ Q.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the M-\/by-\/\-N matrix A. On exit, the elements on and below the diagonal of the array contain the m-\/by-\/min(M,N) lower trapezoidal matrix L (L is lower triangular if M $<$= N); the elements above the diagonal represent the unitary matrix Q as a product of elementary reflectors, stored by tiles.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt out}  & {\em desc\-T} & On exit, auxiliary factorization data, required by P\-L\-A\-S\-M\-A\-\_\-cgelqs to solve the system of equations.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga6f34e79fac877177158c861852a1498c_ga6f34e79fac877177158c861852a1498c}{P\-L\-A\-S\-M\-A\-\_\-cgelqf\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gaaacea3fd379ed855b4223aa763dd0cc1_gaaacea3fd379ed855b4223aa763dd0cc1}{P\-L\-A\-S\-M\-A\-\_\-cgelqf\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gadab1e78967134c5e784bb80d03760b25_gadab1e78967134c5e784bb80d03760b25}{P\-L\-A\-S\-M\-A\-\_\-cgelqf} 

\hyperlink{group__double_ga60fffe07485af5c38c0447efccf8ccfe_ga60fffe07485af5c38c0447efccf8ccfe}{P\-L\-A\-S\-M\-A\-\_\-dgelqf} 

\hyperlink{group__float_gaecbccf81ab27bc4a0a5913baedf3b7ef_gaecbccf81ab27bc4a0a5913baedf3b7ef}{P\-L\-A\-S\-M\-A\-\_\-sgelqf} 

\hyperlink{group__PLASMA__Complex32__t_gab6c2a5892b81e8ee9740268d06adf9b1_gab6c2a5892b81e8ee9740268d06adf9b1}{P\-L\-A\-S\-M\-A\-\_\-cgelqs} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gab6c2a5892b81e8ee9740268d06adf9b1_gab6c2a5892b81e8ee9740268d06adf9b1}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgelqs@{P\-L\-A\-S\-M\-A\-\_\-cgelqs}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgelqs@{P\-L\-A\-S\-M\-A\-\_\-cgelqs}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgelqs}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgelqs (
\begin{DoxyParamCaption}
\item[{int}]{M, }
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gab6c2a5892b81e8ee9740268d06adf9b1_gab6c2a5892b81e8ee9740268d06adf9b1}
P\-L\-A\-S\-M\-A\-\_\-cgelqs -\/ Compute a minimum-\/norm solution min $|$$|$ A$\ast$\-X -\/ B $|$$|$ using the L\-Q factorization A = L$\ast$\-Q computed by P\-L\-A\-S\-M\-A\-\_\-cgelqf.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of columns of B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & Details of the L\-Q factorization of the original matrix A as returned by P\-L\-A\-S\-M\-A\-\_\-cgelqf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= M.\\
\hline
\mbox{\tt in}  & {\em desc\-T} & Auxiliary factorization data, computed by P\-L\-A\-S\-M\-A\-\_\-cgelqf.\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the M-\/by-\/\-N\-R\-H\-S right hand side matrix B. On exit, the N-\/by-\/\-N\-R\-H\-S solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= N.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gae806b15d37f50313a6a04c46d4d194da_gae806b15d37f50313a6a04c46d4d194da}{P\-L\-A\-S\-M\-A\-\_\-cgelqs\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gaf0c1cbccdaaa9731b193bf271b58fdb9_gaf0c1cbccdaaa9731b193bf271b58fdb9}{P\-L\-A\-S\-M\-A\-\_\-cgelqs\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gab6c2a5892b81e8ee9740268d06adf9b1_gab6c2a5892b81e8ee9740268d06adf9b1}{P\-L\-A\-S\-M\-A\-\_\-cgelqs} 

\hyperlink{group__double_ga092545f106c9fae67b82eb65f11ca4ab_ga092545f106c9fae67b82eb65f11ca4ab}{P\-L\-A\-S\-M\-A\-\_\-dgelqs} 

\hyperlink{group__float_ga4bde040498b35dcbc88268de59de7d12_ga4bde040498b35dcbc88268de59de7d12}{P\-L\-A\-S\-M\-A\-\_\-sgelqs} 

\hyperlink{group__PLASMA__Complex32__t_gadab1e78967134c5e784bb80d03760b25_gadab1e78967134c5e784bb80d03760b25}{P\-L\-A\-S\-M\-A\-\_\-cgelqf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga047c51e0c630ac15b2679b8352013f7b_ga047c51e0c630ac15b2679b8352013f7b}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgels@{P\-L\-A\-S\-M\-A\-\_\-cgels}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgels@{P\-L\-A\-S\-M\-A\-\_\-cgels}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgels}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgels (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans, }
\item[{int}]{M, }
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga047c51e0c630ac15b2679b8352013f7b_ga047c51e0c630ac15b2679b8352013f7b}
P\-L\-A\-S\-M\-A\-\_\-cgels -\/ solves overdetermined or underdetermined linear systems involving an M-\/by-\/\-N matrix A using the Q\-R or the L\-Q factorization of A. It is assumed that A has full rank. The following options are provided\-:

\subsection*{trans = Plasma\-No\-Trans and M $>$= N\-: find the least squares solution of an overdetermined}

system, i.\-e., solve the least squares problem\-: minimize $|$$|$ B -\/ A$\ast$\-X $|$$|$.

\subsection*{trans = Plasma\-No\-Trans and M $<$ N\-: find the minimum norm solution of an underdetermined}

system A $\ast$ X = B.

Several right hand side vectors B and solution vectors X can be handled in a single call; they are stored as the columns of the M-\/by-\/\-N\-R\-H\-S right hand side matrix B and the N-\/by-\/\-N\-R\-H\-S solution matrix X.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em trans} & Intended usage\-: = Plasma\-No\-Trans\-: the linear system involves A; = Plasma\-Conj\-Trans\-: the linear system involves A$\ast$$\ast$\-H. Currently only Plasma\-No\-Trans is supported.\\
\hline
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrices B and X. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the M-\/by-\/\-N matrix A. On exit, if M $>$= N, A is overwritten by details of its Q\-R factorization as returned by P\-L\-A\-S\-M\-A\-\_\-cgeqrf; if M $<$ N, A is overwritten by details of its L\-Q factorization as returned by P\-L\-A\-S\-M\-A\-\_\-cgelqf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt out}  & {\em desc\-T} & On exit, auxiliary factorization data.\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the M-\/by-\/\-N\-R\-H\-S matrix B of right hand side vectors, stored columnwise; On exit, if return value = 0, B is overwritten by the solution vectors, stored columnwise\-: if M $>$= N, rows 1 to N of B contain the least squares solution vectors; the residual sum of squares for the solution in each column is given by the sum of squares of the modulus of elements N+1 to M in that column; if M $<$ N, rows 1 to N of B contain the minimum norm solution vectors;\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= M\-A\-X(1,\-M,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaa50da512c98d8fc5a0600577ff930a7d_gaa50da512c98d8fc5a0600577ff930a7d}{P\-L\-A\-S\-M\-A\-\_\-cgels\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga7a7704d98d5c0dbebe99aecdad6f9106_ga7a7704d98d5c0dbebe99aecdad6f9106}{P\-L\-A\-S\-M\-A\-\_\-cgels\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga047c51e0c630ac15b2679b8352013f7b_ga047c51e0c630ac15b2679b8352013f7b}{P\-L\-A\-S\-M\-A\-\_\-cgels} 

\hyperlink{group__double_ga4bfc0cdaf567c26828f484e54d457d92_ga4bfc0cdaf567c26828f484e54d457d92}{P\-L\-A\-S\-M\-A\-\_\-dgels} 

\hyperlink{group__float_ga2bbab59e86acca698a73c5bc8023e5c3_ga2bbab59e86acca698a73c5bc8023e5c3}{P\-L\-A\-S\-M\-A\-\_\-sgels} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga5505cdf8794ea00c9160d656d2a00ec9_ga5505cdf8794ea00c9160d656d2a00ec9}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgemm@{P\-L\-A\-S\-M\-A\-\_\-cgemm}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgemm@{P\-L\-A\-S\-M\-A\-\_\-cgemm}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgemm}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgemm (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans\-B, }
\item[{int}]{M, }
\item[{int}]{N, }
\item[{int}]{K, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{beta, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{C, }
\item[{int}]{L\-D\-C}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga5505cdf8794ea00c9160d656d2a00ec9_ga5505cdf8794ea00c9160d656d2a00ec9}
P\-L\-A\-S\-M\-A\-\_\-cgemm -\/ Performs one of the matrix-\/matrix operations

\[ C = \alpha [op( A )\times op( B )] + \beta C \],

where op( X ) is one of

op( X ) = X or op( X ) = X' or op( X ) = conjfg( X' )

alpha and beta are scalars, and A, B and C are matrices, with op( A ) an m by k matrix, op( B ) a k by n matrix and C an m by n matrix.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em trans\-A} & Specifies whether the matrix A is transposed, not transposed or conjfugate transposed\-: = Plasma\-No\-Trans\-: A is not transposed; = Plasma\-Trans\-: A is transposed; = Plasma\-Conj\-Trans\-: A is conjfugate transposed.\\
\hline
\mbox{\tt in}  & {\em trans\-B} & Specifies whether the matrix B is transposed, not transposed or conjfugate transposed\-: = Plasma\-No\-Trans\-: B is not transposed; = Plasma\-Trans\-: B is transposed; = Plasma\-Conj\-Trans\-: B is conjfugate transposed.\\
\hline
\mbox{\tt in}  & {\em M} & M specifies the number of rows of the matrix op( A ) and of the matrix C. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & N specifies the number of columns of the matrix op( B ) and of the matrix C. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em K} & K specifies the number of columns of the matrix op( A ) and the number of rows of the matrix op( B ). K $>$= 0.\\
\hline
\mbox{\tt in}  & {\em alpha} & alpha specifies the scalar alpha\\
\hline
\mbox{\tt in}  & {\em A} & A is a L\-D\-A-\/by-\/ka matrix, where ka is K when trans\-A = Plasma\-No\-Trans, and is M otherwise.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt in}  & {\em B} & B is a L\-D\-B-\/by-\/kb matrix, where kb is N when trans\-B = Plasma\-No\-Trans, and is K otherwise.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\mbox{\tt in}  & {\em beta} & beta specifies the scalar beta\\
\hline
\mbox{\tt in,out}  & {\em C} & C is a L\-D\-C-\/by-\/\-N matrix. On exit, the array is overwritten by the M by N matrix ( alpha$\ast$op( A )$\ast$op( B ) + beta$\ast$\-C )\\
\hline
\mbox{\tt in}  & {\em L\-D\-C} & The leading dimension of the array C. L\-D\-C $>$= max(1,\-M).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaceb407a08d7a3d03ee909cd06fee4201_gaceb407a08d7a3d03ee909cd06fee4201}{P\-L\-A\-S\-M\-A\-\_\-cgemm\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t_ga5505cdf8794ea00c9160d656d2a00ec9_ga5505cdf8794ea00c9160d656d2a00ec9}{P\-L\-A\-S\-M\-A\-\_\-cgemm} 

\hyperlink{group__double_ga5c560bea8139857be91339582ba830ef_ga5c560bea8139857be91339582ba830ef}{P\-L\-A\-S\-M\-A\-\_\-dgemm} 

\hyperlink{group__float_gace4e6452ba3ffb8cef11be1987091382_gace4e6452ba3ffb8cef11be1987091382}{P\-L\-A\-S\-M\-A\-\_\-sgemm} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gae8490d9c587725716adbb347d85537b2_gae8490d9c587725716adbb347d85537b2}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgeqrf@{P\-L\-A\-S\-M\-A\-\_\-cgeqrf}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgeqrf@{P\-L\-A\-S\-M\-A\-\_\-cgeqrf}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgeqrf}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgeqrf (
\begin{DoxyParamCaption}
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gae8490d9c587725716adbb347d85537b2_gae8490d9c587725716adbb347d85537b2}
P\-L\-A\-S\-M\-A\-\_\-cgeqrf -\/ Computes the tile Q\-R factorization of a complex M-\/by-\/\-N matrix A\-: A = Q $\ast$ R.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the M-\/by-\/\-N matrix A. On exit, the elements on and above the diagonal of the array contain the min(\-M,\-N)-\/by-\/\-N upper trapezoidal matrix R (R is upper triangular if M $>$= N); the elements below the diagonal represent the unitary matrix Q as a product of elementary reflectors stored by tiles.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt out}  & {\em desc\-T} & On exit, auxiliary factorization data, required by P\-L\-A\-S\-M\-A\-\_\-cgeqrs to solve the system of equations.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga0241d53a2f85f272437abff229eefd49_ga0241d53a2f85f272437abff229eefd49}{P\-L\-A\-S\-M\-A\-\_\-cgeqrf\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga561953a55a51d48f1a011a17770a1d08_ga561953a55a51d48f1a011a17770a1d08}{P\-L\-A\-S\-M\-A\-\_\-cgeqrf\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gae8490d9c587725716adbb347d85537b2_gae8490d9c587725716adbb347d85537b2}{P\-L\-A\-S\-M\-A\-\_\-cgeqrf} 

\hyperlink{group__double_gaad8136b3520b4bda7261d3f921c8a740_gaad8136b3520b4bda7261d3f921c8a740}{P\-L\-A\-S\-M\-A\-\_\-dgeqrf} 

\hyperlink{group__float_gad2dff40bb75ba6ee7a91306e0a3e889e_gad2dff40bb75ba6ee7a91306e0a3e889e}{P\-L\-A\-S\-M\-A\-\_\-sgeqrf} 

\hyperlink{group__PLASMA__Complex32__t_ga961a4dfc433c5086670b813e5fa53bbf_ga961a4dfc433c5086670b813e5fa53bbf}{P\-L\-A\-S\-M\-A\-\_\-cgeqrs} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga961a4dfc433c5086670b813e5fa53bbf_ga961a4dfc433c5086670b813e5fa53bbf}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgeqrs@{P\-L\-A\-S\-M\-A\-\_\-cgeqrs}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgeqrs@{P\-L\-A\-S\-M\-A\-\_\-cgeqrs}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgeqrs}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgeqrs (
\begin{DoxyParamCaption}
\item[{int}]{M, }
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga961a4dfc433c5086670b813e5fa53bbf_ga961a4dfc433c5086670b813e5fa53bbf}
P\-L\-A\-S\-M\-A\-\_\-cgeqrs -\/ Compute a minimum-\/norm solution min $|$$|$ A$\ast$\-X -\/ B $|$$|$ using the R\-Q factorization A = R$\ast$\-Q computed by P\-L\-A\-S\-M\-A\-\_\-cgeqrf.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of columns of B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & Details of the Q\-R factorization of the original matrix A as returned by P\-L\-A\-S\-M\-A\-\_\-cgeqrf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= M.\\
\hline
\mbox{\tt in}  & {\em desc\-T} & Auxiliary factorization data, computed by P\-L\-A\-S\-M\-A\-\_\-cgeqrf.\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the m-\/by-\/nrhs right hand side matrix B. On exit, the n-\/by-\/nrhs solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gadaa2c4de5c15320cedb217e1087186c0_gadaa2c4de5c15320cedb217e1087186c0}{P\-L\-A\-S\-M\-A\-\_\-cgeqrs\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gae06221bd74487f9617c819c4626f27ac_gae06221bd74487f9617c819c4626f27ac}{P\-L\-A\-S\-M\-A\-\_\-cgeqrs\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga961a4dfc433c5086670b813e5fa53bbf_ga961a4dfc433c5086670b813e5fa53bbf}{P\-L\-A\-S\-M\-A\-\_\-cgeqrs} 

\hyperlink{group__double_gaa133b69ef592ef01466fd93b6ac7689d_gaa133b69ef592ef01466fd93b6ac7689d}{P\-L\-A\-S\-M\-A\-\_\-dgeqrs} 

\hyperlink{group__float_ga15cad3c163c8d1137d13d66594652b7d_ga15cad3c163c8d1137d13d66594652b7d}{P\-L\-A\-S\-M\-A\-\_\-sgeqrs} 

\hyperlink{group__PLASMA__Complex32__t_gae8490d9c587725716adbb347d85537b2_gae8490d9c587725716adbb347d85537b2}{P\-L\-A\-S\-M\-A\-\_\-cgeqrf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga5ec3217862ee4b820b9cd9d4b343bfae_ga5ec3217862ee4b820b9cd9d4b343bfae}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgesv@{P\-L\-A\-S\-M\-A\-\_\-cgesv}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgesv@{P\-L\-A\-S\-M\-A\-\_\-cgesv}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgesv}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgesv (
\begin{DoxyParamCaption}
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{int $\ast$}]{I\-P\-I\-V, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga5ec3217862ee4b820b9cd9d4b343bfae_ga5ec3217862ee4b820b9cd9d4b343bfae}
P\-L\-A\-S\-M\-A\-\_\-cgesv -\/ Computes the solution to a system of linear equations A $\ast$ X = B, where A is an N-\/by-\/\-N matrix and X and B are N-\/by-\/\-N\-R\-H\-S matrices. The tile L\-U decomposition with partial tile pivoting and row interchanges is used to factor A. The factored form of A is then used to solve the system of equations A $\ast$ X = B.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em N} & The number of linear equations, i.\-e., the order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrix B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the N-\/by-\/\-N coefficient matrix A. On exit, the tile L and U factors from the factorization.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt out}  & {\em I\-P\-I\-V} & On exit, the pivot indices that define the permutations.\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the N-\/by-\/\-N\-R\-H\-S matrix of right hand side matrix B. On exit, if return value = 0, the N-\/by-\/\-N\-R\-H\-S solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if i, U(i,i) is exactly zero. The factorization has been completed, but the factor U is exactly singular, so the solution could not be computed.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga0dfdc0c54977335c9afb38f60764274d_ga0dfdc0c54977335c9afb38f60764274d}{P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga0fd2ae3ef40548348c9862fa1d9a5236_ga0fd2ae3ef40548348c9862fa1d9a5236}{P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga5ec3217862ee4b820b9cd9d4b343bfae_ga5ec3217862ee4b820b9cd9d4b343bfae}{P\-L\-A\-S\-M\-A\-\_\-cgesv} 

\hyperlink{group__double_gae380e95b53e07b9b1261aec244191c0f_gae380e95b53e07b9b1261aec244191c0f}{P\-L\-A\-S\-M\-A\-\_\-dgesv} 

\hyperlink{group__float_ga39018420f926f77ef11c50c82f66da77_ga39018420f926f77ef11c50c82f66da77}{P\-L\-A\-S\-M\-A\-\_\-sgesv} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gade54f0cdad2648b241e2701e0e07cbce_gade54f0cdad2648b241e2701e0e07cbce}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv@{P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv@{P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv (
\begin{DoxyParamCaption}
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-L, }
\item[{int $\ast$}]{I\-P\-I\-V, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gade54f0cdad2648b241e2701e0e07cbce_gade54f0cdad2648b241e2701e0e07cbce}
P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv -\/ Computes the solution to a system of linear equations A $\ast$ X = B, where A is an N-\/by-\/\-N matrix and X and B are N-\/by-\/\-N\-R\-H\-S matrices. The tile L\-U decomposition with partial tile pivoting and row interchanges is used to factor A. The factored form of A is then used to solve the system of equations A $\ast$ X = B.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em N} & The number of linear equations, i.\-e., the order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrix B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the N-\/by-\/\-N coefficient matrix A. On exit, the tile L and U factors from the factorization (not equivalent to L\-A\-P\-A\-C\-K).\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt out}  & {\em desc\-L} & On exit, auxiliary factorization data, related to the tile L factor, necessary to solve the system of equations.\\
\hline
\mbox{\tt out}  & {\em I\-P\-I\-V} & On exit, the pivot indices that define the permutations (not equivalent to L\-A\-P\-A\-C\-K).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the N-\/by-\/\-N\-R\-H\-S matrix of right hand side matrix B. On exit, if return value = 0, the N-\/by-\/\-N\-R\-H\-S solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if i, U(i,i) is exactly zero. The factorization has been completed, but the factor U is exactly singular, so the solution could not be computed.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gab1c5537b504823d7d8deea6b0511bebc_gab1c5537b504823d7d8deea6b0511bebc}{P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gab4722567489b91ac36ee04e8c2a65620_gab4722567489b91ac36ee04e8c2a65620}{P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gade54f0cdad2648b241e2701e0e07cbce_gade54f0cdad2648b241e2701e0e07cbce}{P\-L\-A\-S\-M\-A\-\_\-cgesv\-\_\-incpiv} 

\hyperlink{group__double_gaaf143240840f5315cf672d66dead1111_gaaf143240840f5315cf672d66dead1111}{P\-L\-A\-S\-M\-A\-\_\-dgesv\-\_\-incpiv} 

\hyperlink{group__float_gab9dab6c3f22b6cf8dad0fa2f1b563988_gab9dab6c3f22b6cf8dad0fa2f1b563988}{P\-L\-A\-S\-M\-A\-\_\-sgesv\-\_\-incpiv} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga2c71687d9af24541b259570cb46fbce0_ga2c71687d9af24541b259570cb46fbce0}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgesvd@{P\-L\-A\-S\-M\-A\-\_\-cgesvd}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgesvd@{P\-L\-A\-S\-M\-A\-\_\-cgesvd}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgesvd}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgesvd (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{jobu, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{jobvt, }
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{float $\ast$}]{S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{U, }
\item[{int}]{L\-D\-U, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{V\-T, }
\item[{int}]{L\-D\-V\-T, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga2c71687d9af24541b259570cb46fbce0_ga2c71687d9af24541b259570cb46fbce0}
P\-L\-A\-S\-M\-A\-\_\-cgesvd -\/ computes the singular value decomposition (S\-V\-D) of a complex M-\/by-\/\-N matrix A, optionally computing the left and/or right singular vectors. The S\-V\-D is written \begin{DoxyVerb} A = U * SIGMA * transpose(V)
\end{DoxyVerb}


where S\-I\-G\-M\-A is an M-\/by-\/\-N matrix which is zero except for its min(m,n) diagonal elements, U is an M-\/by-\/\-M orthogonal matrix, and V is an N-\/by-\/\-N orthogonal matrix. The diagonal elements of S\-I\-G\-M\-A are the singular values of A; they are real and non-\/negative, and are returned in descending order. The first min(m,n) columns of U and V are the left and right singular vectors of A.

Note that the routine returns V$\ast$$\ast$\-T, not V. Not L\-A\-P\-A\-C\-K Compliant for now! Note\-: Only Plasma\-No\-Vec supported!


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em jobu} & Specifies options for computing all or part of the matrix U. Intended usage\-: = Plasma\-Vec\-: all M columns of U are returned in array U; = Plasma\-No\-Vec\-: no columns of U (no left singular vectors) are computed. Note\-: Only Plasma\-No\-Vec supported!\\
\hline
\mbox{\tt in}  & {\em jobvt} & Specifies options for computing all or part of the matrix V$\ast$$\ast$\-H. Intended usage\-: = Plasma\-Vec\-: all M columns of U are returned in array U; = Plasma\-No\-Vec\-: no columns of U (no left singular vectors) are computed. Note\-: Only Plasma\-No\-Vec supported!\\
\hline
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the M-\/by-\/\-N matrix A. On exit, if J\-O\-B\-U = 'O', A is overwritten with the first min(m,n) columns of U (the left singular vectors, stored columnwise); if J\-O\-B\-V\-T = 'O', A is overwritten with the first min(m,n) rows of V$\ast$$\ast$\-H (the right singular vectors, stored rowwise); if J\-O\-B\-U .ne. 'O' and J\-O\-B\-V\-T .ne. 'O', the contents of A are destroyed.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt out}  & {\em S} & The real singular values of A, sorted so that S(i) $>$= S(i+1).\\
\hline
\mbox{\tt out}  & {\em U} & (L\-D\-U,M) if J\-O\-B\-U = 'A' or (L\-D\-U,min(\-M,\-N)) if J\-O\-B\-U = 'S'. If J\-O\-B\-U = 'A', U contains the M-\/by-\/\-M unitary matrix U; if J\-O\-B\-U = 'S', U contains the first min(m,n) columns of U (the left singular vectors, stored columnwise); if J\-O\-B\-U = 'N' or 'O', U is not referenced.\\
\hline
\mbox{\tt in}  & {\em L\-D\-U} & The leading dimension of the array U. L\-D\-U $>$= 1; if J\-O\-B\-U = 'S' or 'A', L\-D\-U $>$= M.\\
\hline
\mbox{\tt out}  & {\em V\-T} & If J\-O\-B\-V\-T = 'A', V\-T contains the N-\/by-\/\-N unitary matrix V$\ast$$\ast$\-H; if J\-O\-B\-V\-T = 'S', V\-T contains the first min(m,n) rows of V$\ast$$\ast$\-H (the right singular vectors, stored rowwise); if J\-O\-B\-V\-T = 'N' or 'O', V\-T is not referenced.\\
\hline
\mbox{\tt in}  & {\em L\-D\-V\-T} & The leading dimension of the array V\-T. L\-D\-V\-T $>$= 1; if J\-O\-B\-V\-T = 'A', L\-D\-V\-T $>$= N; if J\-O\-B\-V\-T = 'S', L\-D\-V\-T $>$= min(\-M,\-N).\\
\hline
\mbox{\tt in,out}  & {\em desc\-T} & On entry, descriptor as return by P\-L\-A\-S\-M\-A\-\_\-\-Alloc\-\_\-\-Workspace\-\_\-cgesvd On exit, contains auxiliary factorization data.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gac50a6a37972f2210f39d0642da7746fc_gac50a6a37972f2210f39d0642da7746fc}{P\-L\-A\-S\-M\-A\-\_\-cgesvd\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga3e55e2cf14d10a114026088385d5b8a2_ga3e55e2cf14d10a114026088385d5b8a2}{P\-L\-A\-S\-M\-A\-\_\-cgesvd\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga2c71687d9af24541b259570cb46fbce0_ga2c71687d9af24541b259570cb46fbce0}{P\-L\-A\-S\-M\-A\-\_\-cgesvd} 

\hyperlink{group__double_ga033944c3892f07b32ae0275788e51b00_ga033944c3892f07b32ae0275788e51b00}{P\-L\-A\-S\-M\-A\-\_\-dgesvd} 

\hyperlink{group__float_ga5f1c967294c4214329ed839f41988e2b_ga5f1c967294c4214329ed839f41988e2b}{P\-L\-A\-S\-M\-A\-\_\-sgesvd} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga9a372dbe56f1ef00531a284e1bf3a694_ga9a372dbe56f1ef00531a284e1bf3a694}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgetrf@{P\-L\-A\-S\-M\-A\-\_\-cgetrf}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgetrf@{P\-L\-A\-S\-M\-A\-\_\-cgetrf}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgetrf}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgetrf (
\begin{DoxyParamCaption}
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{int $\ast$}]{I\-P\-I\-V}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga9a372dbe56f1ef00531a284e1bf3a694_ga9a372dbe56f1ef00531a284e1bf3a694}
P\-L\-A\-S\-M\-A\-\_\-cgetrf -\/ Computes an L\-U factorization of a general M-\/by-\/\-N matrix A using the tile L\-U algorithm with partial tile pivoting with row interchanges.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the M-\/by-\/\-N matrix to be factored. On exit, the tile factors L and U from the factorization.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt out}  & {\em I\-P\-I\-V} & The pivot indices that define the permutations.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if i, U(i,i) is exactly zero. The factorization has been completed, but the factor U is exactly singular, and division by zero will occur if it is used to solve a system of equations.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga6bbb7b97e2d8a2a501e87db53f285aff_ga6bbb7b97e2d8a2a501e87db53f285aff}{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gad07cc0f567f348a1e5bfbfbb7637e0a6_gad07cc0f567f348a1e5bfbfbb7637e0a6}{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga9a372dbe56f1ef00531a284e1bf3a694_ga9a372dbe56f1ef00531a284e1bf3a694}{P\-L\-A\-S\-M\-A\-\_\-cgetrf} 

\hyperlink{group__double_gaa626e37ec710bfb5c98fef7b00511ea8_gaa626e37ec710bfb5c98fef7b00511ea8}{P\-L\-A\-S\-M\-A\-\_\-dgetrf} 

\hyperlink{group__float_ga8bf6af99c20539f64fa60b64d99fc1be_ga8bf6af99c20539f64fa60b64d99fc1be}{P\-L\-A\-S\-M\-A\-\_\-sgetrf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gaaeca906ffb473a1bc1772671fb4f558f_gaaeca906ffb473a1bc1772671fb4f558f}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv@{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv@{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv (
\begin{DoxyParamCaption}
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-L, }
\item[{int $\ast$}]{I\-P\-I\-V}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gaaeca906ffb473a1bc1772671fb4f558f_gaaeca906ffb473a1bc1772671fb4f558f}
P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv -\/ Computes an L\-U factorization of a general M-\/by-\/\-N matrix A using the tile L\-U algorithm with partial tile pivoting with row interchanges.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the M-\/by-\/\-N matrix to be factored. On exit, the tile factors L and U from the factorization.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt out}  & {\em desc\-L} & On exit, auxiliary factorization data, related to the tile L factor, required by P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv to solve the system of equations.\\
\hline
\mbox{\tt out}  & {\em I\-P\-I\-V} & The pivot indices that define the permutations (not equivalent to L\-A\-P\-A\-C\-K).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if i, U(i,i) is exactly zero. The factorization has been completed, but the factor U is exactly singular, and division by zero will occur if it is used to solve a system of equations.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaa69cb0f600e9078a0749c21122ba6c9f_gaa69cb0f600e9078a0749c21122ba6c9f}{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga0cdd633a67a1ee67ba5ea168a73b18ee_ga0cdd633a67a1ee67ba5ea168a73b18ee}{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gaaeca906ffb473a1bc1772671fb4f558f_gaaeca906ffb473a1bc1772671fb4f558f}{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv} 

\hyperlink{group__double_gad1a9ffdf2bf95696d94eac58177c3964_gad1a9ffdf2bf95696d94eac58177c3964}{P\-L\-A\-S\-M\-A\-\_\-dgetrf\-\_\-incpiv} 

\hyperlink{group__float_ga2980cac88a14ba51d0ef99036f5ace69_ga2980cac88a14ba51d0ef99036f5ace69}{P\-L\-A\-S\-M\-A\-\_\-sgetrf\-\_\-incpiv} 

\hyperlink{group__PLASMA__Complex32__t_ga76f71e3044a34898fcf7f5c8a9522183_ga76f71e3044a34898fcf7f5c8a9522183}{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gaecd124d0a04fc7a679385fd13018fa02_gaecd124d0a04fc7a679385fd13018fa02}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgetri@{P\-L\-A\-S\-M\-A\-\_\-cgetri}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgetri@{P\-L\-A\-S\-M\-A\-\_\-cgetri}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgetri}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgetri (
\begin{DoxyParamCaption}
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{int $\ast$}]{I\-P\-I\-V}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gaecd124d0a04fc7a679385fd13018fa02_gaecd124d0a04fc7a679385fd13018fa02}
P\-L\-A\-S\-M\-A\-\_\-cgetri -\/ Computes the inverse of a matrix using the L\-U factorization computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf. This method inverts U and then computes inv(\-A) by solving the system inv(\-A)$\ast$\-L = inv(\-U) for inv(\-A).


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the triangular factor L or U from the factorization A = P$\ast$\-L$\ast$\-U as computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf. On exit, if return value = 0, the inverse of the original matrix A.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in}  & {\em I\-P\-I\-V} & The pivot indices that define the permutations as returned by P\-L\-A\-S\-M\-A\-\_\-cgetrf.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if i, the (i,i) element of the factor U is exactly zero; The matrix is singular and its inverse could not be computed.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga289c70c1c0c2613108b07873535a497b_ga289c70c1c0c2613108b07873535a497b}{P\-L\-A\-S\-M\-A\-\_\-cgetri\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga6d18ea785cd0131e1752ae2eb0e14e76_ga6d18ea785cd0131e1752ae2eb0e14e76}{P\-L\-A\-S\-M\-A\-\_\-cgetri\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gaecd124d0a04fc7a679385fd13018fa02_gaecd124d0a04fc7a679385fd13018fa02}{P\-L\-A\-S\-M\-A\-\_\-cgetri} 

\hyperlink{group__double_gaef9247e762016885c0b31dc28356bab7_gaef9247e762016885c0b31dc28356bab7}{P\-L\-A\-S\-M\-A\-\_\-dgetri} 

\hyperlink{group__float_gadb78715cdd99791aa77c2640f1325f8e_gadb78715cdd99791aa77c2640f1325f8e}{P\-L\-A\-S\-M\-A\-\_\-sgetri} 

\hyperlink{group__PLASMA__Complex32__t_ga9a372dbe56f1ef00531a284e1bf3a694_ga9a372dbe56f1ef00531a284e1bf3a694}{P\-L\-A\-S\-M\-A\-\_\-cgetrf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gaa63ca86deb84eae5320d832f5dffd2fc_gaa63ca86deb84eae5320d832f5dffd2fc}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgetrs@{P\-L\-A\-S\-M\-A\-\_\-cgetrs}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgetrs@{P\-L\-A\-S\-M\-A\-\_\-cgetrs}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgetrs}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgetrs (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans, }
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{int $\ast$}]{I\-P\-I\-V, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gaa63ca86deb84eae5320d832f5dffd2fc_gaa63ca86deb84eae5320d832f5dffd2fc}
P\-L\-A\-S\-M\-A\-\_\-cgetrs -\/ Solves a system of linear equations A $\ast$ X = B, with a general N-\/by-\/\-N matrix A using the tile L\-U factorization computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em trans} & Intended to specify the the form of the system of equations\-: = Plasma\-No\-Trans\-: A $\ast$ X = B (No transpose) = Plasma\-Trans\-: A$\ast$$\ast$\-T $\ast$ X = B (Transpose) = Plasma\-Conj\-Trans\-: A$\ast$$\ast$\-H $\ast$ X = B (Conjugate transpose)\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrix B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & The tile factors L and U from the factorization, computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in}  & {\em I\-P\-I\-V} & The pivot indices from P\-L\-A\-S\-M\-A\-\_\-cgetrf.\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the N-\/by-\/\-N\-R\-H\-S matrix of right hand side matrix B. On exit, the solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
\end{DoxyRetVals}
\begin{DoxyReturn}{Returns}
$<$0 if -\/i, the i-\/th argument had an illegal value
\end{DoxyReturn}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga3f03a56cc820b4bd94a2fec3cc064d77_ga3f03a56cc820b4bd94a2fec3cc064d77}{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gaff460da02de47ca5da0db42dd7dcaace_gaff460da02de47ca5da0db42dd7dcaace}{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gaa63ca86deb84eae5320d832f5dffd2fc_gaa63ca86deb84eae5320d832f5dffd2fc}{P\-L\-A\-S\-M\-A\-\_\-cgetrs} 

\hyperlink{group__double_ga5b08c48445d3d72e892aceafa3f5b788_ga5b08c48445d3d72e892aceafa3f5b788}{P\-L\-A\-S\-M\-A\-\_\-dgetrs} 

\hyperlink{group__float_gabd57d3c25369b07e888ef602d8771285_gabd57d3c25369b07e888ef602d8771285}{P\-L\-A\-S\-M\-A\-\_\-sgetrs} 

\hyperlink{group__PLASMA__Complex32__t_ga9a372dbe56f1ef00531a284e1bf3a694_ga9a372dbe56f1ef00531a284e1bf3a694}{P\-L\-A\-S\-M\-A\-\_\-cgetrf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga76f71e3044a34898fcf7f5c8a9522183_ga76f71e3044a34898fcf7f5c8a9522183}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv@{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv}}
\index{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv@{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans, }
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-L, }
\item[{int $\ast$}]{I\-P\-I\-V, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga76f71e3044a34898fcf7f5c8a9522183_ga76f71e3044a34898fcf7f5c8a9522183}
P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv -\/ Solves a system of linear equations A $\ast$ X = B, with a general N-\/by-\/\-N matrix A using the tile L\-U factorization computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em trans} & Intended to specify the the form of the system of equations\-: = Plasma\-No\-Trans\-: A $\ast$ X = B (No transpose) = Plasma\-Trans\-: A$\ast$$\ast$\-T $\ast$ X = B (Transpose) = Plasma\-Conj\-Trans\-: A$\ast$$\ast$\-H $\ast$ X = B (Conjugate transpose) Currently only Plasma\-No\-Trans is supported.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrix B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & The tile factors L and U from the factorization, computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in}  & {\em desc\-L} & Auxiliary factorization data, related to the tile L factor, computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv.\\
\hline
\mbox{\tt in}  & {\em I\-P\-I\-V} & The pivot indices from P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv (not equivalent to L\-A\-P\-A\-C\-K).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the N-\/by-\/\-N\-R\-H\-S matrix of right hand side matrix B. On exit, the solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
\end{DoxyRetVals}
\begin{DoxyReturn}{Returns}
$<$0 if -\/i, the i-\/th argument had an illegal value
\end{DoxyReturn}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaf2ed21067768c95ea13188c2fc827fc2_gaf2ed21067768c95ea13188c2fc827fc2}{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gab60f7979cbda8eed156cab8c2b71e329_gab60f7979cbda8eed156cab8c2b71e329}{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga76f71e3044a34898fcf7f5c8a9522183_ga76f71e3044a34898fcf7f5c8a9522183}{P\-L\-A\-S\-M\-A\-\_\-cgetrs\-\_\-incpiv} 

\hyperlink{group__double_gac66423b6f925105bbb478f55e2ff98ee_gac66423b6f925105bbb478f55e2ff98ee}{P\-L\-A\-S\-M\-A\-\_\-dgetrs\-\_\-incpiv} 

\hyperlink{group__float_ga2fecfebe8c2992a7eac4b8006068cd22_ga2fecfebe8c2992a7eac4b8006068cd22}{P\-L\-A\-S\-M\-A\-\_\-sgetrs\-\_\-incpiv} 

\hyperlink{group__PLASMA__Complex32__t_gaaeca906ffb473a1bc1772671fb4f558f_gaaeca906ffb473a1bc1772671fb4f558f}{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga0d2fe45268be2c3d25593d80dd0c547f_ga0d2fe45268be2c3d25593d80dd0c547f}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cheev@{P\-L\-A\-S\-M\-A\-\_\-cheev}}
\index{P\-L\-A\-S\-M\-A\-\_\-cheev@{P\-L\-A\-S\-M\-A\-\_\-cheev}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cheev}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cheev (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{jobz, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{float $\ast$}]{W, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{Q, }
\item[{int}]{L\-D\-Q}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga0d2fe45268be2c3d25593d80dd0c547f_ga0d2fe45268be2c3d25593d80dd0c547f}
P\-L\-A\-S\-M\-A\-\_\-cheev -\/ Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A. The matrix A is preliminary reduced to tridiagonal form using a two-\/stage approach\-: First stage\-: reduction to band tridiagonal form; Second stage\-: reduction from band to tridiagonal form.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em jobz} & Intended usage\-: = Plasma\-No\-Vec\-: computes eigenvalues only; = Plasma\-Vec\-: computes eigenvalues and eigenvectors.\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the matrix A is upper triangular or lower triangular\-: = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the symmetric (or Hermitian) matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, the lower triangle (if uplo = Plasma\-Lower) or the upper triangle (if uplo = Plasma\-Upper) of A, including the diagonal, is destroyed.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt out}  & {\em W} & On exit, if info = 0, the eigenvalues.\\
\hline
\mbox{\tt in,out}  & {\em desc\-T} & On entry, descriptor as return by P\-L\-A\-S\-M\-A\-\_\-\-Alloc\-\_\-\-Workspace\-\_\-cheev On exit, contains auxiliary factorization data.\\
\hline
\mbox{\tt out}  & {\em Q} & On exit, if jobz = Plasma\-Vec and info = 0, the eigenvectors.\\
\hline
\mbox{\tt in}  & {\em L\-D\-Q} & The leading dimension of the array Q. L\-D\-Q $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if I\-N\-F\-O = i, the algorithm failed to converge; i off-\/diagonal elements of an intermediate tridiagonal form did not converge to zero.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga100a626877313273dd1e1d5872354298_ga100a626877313273dd1e1d5872354298}{P\-L\-A\-S\-M\-A\-\_\-cheev\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gaacecd56a6f9f1970c10527cd253a1f5b_gaacecd56a6f9f1970c10527cd253a1f5b}{P\-L\-A\-S\-M\-A\-\_\-cheev\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga0d2fe45268be2c3d25593d80dd0c547f_ga0d2fe45268be2c3d25593d80dd0c547f}{P\-L\-A\-S\-M\-A\-\_\-cheev} 

\hyperlink{group__double_gac7ea19b1441c1325f45c0f6a9cfd8a8a_gac7ea19b1441c1325f45c0f6a9cfd8a8a}{P\-L\-A\-S\-M\-A\-\_\-dsyev} 

\hyperlink{group__float_ga92b57475b852b71b42bc39cd0d1ec356_ga92b57475b852b71b42bc39cd0d1ec356}{P\-L\-A\-S\-M\-A\-\_\-ssyev} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga73b59abe87bcb46382a26a50c70345ad_ga73b59abe87bcb46382a26a50c70345ad}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cheevd@{P\-L\-A\-S\-M\-A\-\_\-cheevd}}
\index{P\-L\-A\-S\-M\-A\-\_\-cheevd@{P\-L\-A\-S\-M\-A\-\_\-cheevd}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cheevd}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cheevd (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{jobz, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{float $\ast$}]{W, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{Q, }
\item[{int}]{L\-D\-Q}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga73b59abe87bcb46382a26a50c70345ad_ga73b59abe87bcb46382a26a50c70345ad}
P\-L\-A\-S\-M\-A\-\_\-cheevd -\/ Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A. The matrix A is preliminary reduced to tridiagonal form using a two-\/stage approach\-: First stage\-: reduction to band tridiagonal form; Second stage\-: reduction from band to tridiagonal form.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em jobz} & Intended usage\-: = Plasma\-No\-Vec\-: computes eigenvalues only; = Plasma\-Vec\-: computes eigenvalues and eigenvectors.\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the matrix A is upper triangular or lower triangular\-: = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the symmetric (or Hermitian) matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, the lower triangle (if uplo = Plasma\-Lower) or the upper triangle (if uplo = Plasma\-Upper) of A, including the diagonal, is destroyed.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt out}  & {\em W} & On exit, if info = 0, the eigenvalues.\\
\hline
\mbox{\tt in,out}  & {\em desc\-T} & On entry, descriptor as return by P\-L\-A\-S\-M\-A\-\_\-\-Alloc\-\_\-\-Workspace\-\_\-cheevd On exit, contains auxiliary factorization data.\\
\hline
\mbox{\tt out}  & {\em Q} & On exit, if jobz = Plasma\-Vec and info = 0, the eigenvectors.\\
\hline
\mbox{\tt in}  & {\em L\-D\-Q} & The leading dimension of the array Q. L\-D\-Q $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if I\-N\-F\-O = i, the algorithm failed to converge; i off-\/diagonal elements of an intermediate tridiagonal form did not converge to zero.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga62796d2d6fdf615a552888eb7648ddb1_ga62796d2d6fdf615a552888eb7648ddb1}{P\-L\-A\-S\-M\-A\-\_\-cheevd\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gafd6671ba8fb3ead44a9e0e434bdd23a2_gafd6671ba8fb3ead44a9e0e434bdd23a2}{P\-L\-A\-S\-M\-A\-\_\-cheevd\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga73b59abe87bcb46382a26a50c70345ad_ga73b59abe87bcb46382a26a50c70345ad}{P\-L\-A\-S\-M\-A\-\_\-cheevd} 

\hyperlink{group__double_gac7ea19b1441c1325f45c0f6a9cfd8a8a_gac7ea19b1441c1325f45c0f6a9cfd8a8a}{P\-L\-A\-S\-M\-A\-\_\-dsyev} 

\hyperlink{group__float_ga92b57475b852b71b42bc39cd0d1ec356_ga92b57475b852b71b42bc39cd0d1ec356}{P\-L\-A\-S\-M\-A\-\_\-ssyev} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gac4b81a8ac8396c84a27d8a0b719bc379_gac4b81a8ac8396c84a27d8a0b719bc379}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-chegst@{P\-L\-A\-S\-M\-A\-\_\-chegst}}
\index{P\-L\-A\-S\-M\-A\-\_\-chegst@{P\-L\-A\-S\-M\-A\-\_\-chegst}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-chegst}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-chegst (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{itype, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gac4b81a8ac8396c84a27d8a0b719bc379_gac4b81a8ac8396c84a27d8a0b719bc379}
P\-L\-A\-S\-M\-A\-\_\-chegst -\/ reduces a complex Hermitian-\/definite generalized eigenproblem to standard form. If Plasma\-Itype == 1, the problem is A$\ast$x = lambda$\ast$\-B$\ast$x, and A is overwritten by inv(\-U$\ast$$\ast$\-H)$\ast$\-A$\ast$inv(U) or inv(\-L)$\ast$\-A$\ast$inv(L$\ast$$\ast$\-H) If Plasma\-Itype == 2 or 3, the problem is A$\ast$\-B$\ast$x = lambda$\ast$x or B$\ast$\-A$\ast$x = lambda$\ast$x, and A is overwritten by U$\ast$\-A$\ast$\-U$\ast$$\ast$\-H or L$\ast$$\ast$\-H$\ast$\-A$\ast$\-L. B must have been previously factorized as U$\ast$$\ast$\-H$\ast$\-U or L$\ast$\-L$\ast$$\ast$\-H by P\-L\-A\-S\-M\-A\-\_\-\-C\-P\-O\-T\-R\-F.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em itype} & Intended usage\-: = 1\-: A$\ast$x=(lambda)$\ast$\-B$\ast$x = 2\-: A$\ast$\-Bx=(lambda)$\ast$x = 3\-: B$\ast$\-A$\ast$x=(lambda)$\ast$x\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the matrix A is upper triangular or lower triangular\-: = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrices A and B. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the symmetric (or Hermitian) matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if return value == 0, the transformed matrix, stored in the same format as A.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the triangular factor from the Cholesky factorization of B, as returned by P\-L\-A\-S\-M\-A\-\_\-\-C\-P\-O\-T\-R\-F.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga4315d3e8b6248219e35e1d181dd13b68_ga4315d3e8b6248219e35e1d181dd13b68}{P\-L\-A\-S\-M\-A\-\_\-chegst\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga10f32270e2c1574a884ad5f10084f753_ga10f32270e2c1574a884ad5f10084f753}{P\-L\-A\-S\-M\-A\-\_\-chegst\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gac4b81a8ac8396c84a27d8a0b719bc379_gac4b81a8ac8396c84a27d8a0b719bc379}{P\-L\-A\-S\-M\-A\-\_\-chegst} 

\hyperlink{group__double_ga7ab44c615960d36295086012efc45a7d_ga7ab44c615960d36295086012efc45a7d}{P\-L\-A\-S\-M\-A\-\_\-dsygst} 

\hyperlink{group__float_ga66b77c0de44f80760c4184756250e75e_ga66b77c0de44f80760c4184756250e75e}{P\-L\-A\-S\-M\-A\-\_\-ssygst} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga7d0aad7dba26173b3cc6f35a74f6eaf0_ga7d0aad7dba26173b3cc6f35a74f6eaf0}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-chegv@{P\-L\-A\-S\-M\-A\-\_\-chegv}}
\index{P\-L\-A\-S\-M\-A\-\_\-chegv@{P\-L\-A\-S\-M\-A\-\_\-chegv}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-chegv}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-chegv (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{itype, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{jobz, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B, }
\item[{float $\ast$}]{W, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{Q, }
\item[{int}]{L\-D\-Q}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga7d0aad7dba26173b3cc6f35a74f6eaf0_ga7d0aad7dba26173b3cc6f35a74f6eaf0}
P\-L\-A\-S\-M\-A\-\_\-chegv -\/ Computes all eigenvalues and, optionally, eigenvectors of a complex generalized Hermitian-\/definite eigenproblem of the form\-: A$\ast$x=(lambda)$\ast$\-B$\ast$x, A$\ast$\-Bx=(lambda)$\ast$x, or B$\ast$\-A$\ast$x=(lambda)$\ast$x. Here A and B are assumed to be Hermitian and B is also positive definite.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em itype} & Intended usage\-: = 1\-: A$\ast$x=(lambda)$\ast$\-B$\ast$x = 2\-: A$\ast$\-Bx=(lambda)$\ast$x = 3\-: B$\ast$\-A$\ast$x=(lambda)$\ast$x\\
\hline
\mbox{\tt in}  & {\em jobz} & Intended usage\-: = Plasma\-No\-Vec\-: computes eigenvalues only; = Plasma\-Vec\-: computes eigenvalues and eigenvectors.\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the matrix A is upper triangular or lower triangular\-: = Plasma\-Upper\-: Upper triangle of A and B are stored; = Plasma\-Lower\-: Lower triangle of A and B are stored.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the symmetric (or Hermitian) matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if jobz = Plasma\-Vec, then if return value = 0, A contains the matrix Z of eigenvectors. The eigenvectors are normalized as follows\-: if I\-T\-Y\-P\-E = 1 or 2, Z$\ast$$\ast$\-H$\ast$\-B$\ast$\-Z = I; if I\-T\-Y\-P\-E = 3, Z$\ast$$\ast$\-H$\ast$inv(B)$\ast$\-Z = I. If jobz = Plasma\-No\-Vec, then on exit the lower triangle (if uplo = Plasma\-Lower) or the upper triangle (if uplo = Plasma\-Upper) of A, including the diagonal, is destroyed.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the symmetric (or Hermitian) positive definite matrix B. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of B contains the upper triangular part of the matrix B, and the strictly lower triangular part of B is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of B contains the lower triangular part of the matrix B, and the strictly upper triangular part of B is not referenced. On exit, if return value $<$= N, the part of B containing the matrix is overwritten by the triangular factor U or L from the Cholesky factorization B = U$\ast$$\ast$\-H$\ast$\-U or B = L$\ast$\-L$\ast$$\ast$\-H.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt out}  & {\em W} & On exit, if info = 0, the eigenvalues.\\
\hline
\mbox{\tt in,out}  & {\em desc\-T} & On entry, descriptor as return by P\-L\-A\-S\-M\-A\-\_\-\-Alloc\-\_\-\-Workspace\-\_\-chegv On exit, contains auxiliary factorization data.\\
\hline
\mbox{\tt out}  & {\em Q} & On exit, if jobz = Plasma\-Vec and info = 0, the eigenvectors.\\
\hline
\mbox{\tt in}  & {\em L\-D\-Q} & The leading dimension of Q.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $<$=\-N} & if I\-N\-F\-O = i, plasma\-\_\-chegv failed to converge; i off-\/diagonal elements of an intermediate tridiagonal form did not converge to zero. \\
\hline
{\em $>$\-N} & if I\-N\-F\-O = N + i, for 1 $<$= i $<$= N, then the leading minor of order i of B is not positive definite. The factorization of B could not be completed and no eigenvalues or eigenvectors were computed.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga1601b4d801739ab8999712a71ecee85f_ga1601b4d801739ab8999712a71ecee85f}{P\-L\-A\-S\-M\-A\-\_\-chegv\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga2141f44246dd9981e0d2f96327f65e2e_ga2141f44246dd9981e0d2f96327f65e2e}{P\-L\-A\-S\-M\-A\-\_\-chegv\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga7d0aad7dba26173b3cc6f35a74f6eaf0_ga7d0aad7dba26173b3cc6f35a74f6eaf0}{P\-L\-A\-S\-M\-A\-\_\-chegv} 

\hyperlink{group__double_ga7efdf7cffbb28696c69310d1627a100d_ga7efdf7cffbb28696c69310d1627a100d}{P\-L\-A\-S\-M\-A\-\_\-dsygv} 

\hyperlink{group__float_gaa5deb8e85d037eff767d9a9e5e99fad9_gaa5deb8e85d037eff767d9a9e5e99fad9}{P\-L\-A\-S\-M\-A\-\_\-ssygv} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga7c4d8cc52849439d387178748f08d45b_ga7c4d8cc52849439d387178748f08d45b}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-chegvd@{P\-L\-A\-S\-M\-A\-\_\-chegvd}}
\index{P\-L\-A\-S\-M\-A\-\_\-chegvd@{P\-L\-A\-S\-M\-A\-\_\-chegvd}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-chegvd}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-chegvd (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{itype, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{jobz, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B, }
\item[{float $\ast$}]{W, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{Q, }
\item[{int}]{L\-D\-Q}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga7c4d8cc52849439d387178748f08d45b_ga7c4d8cc52849439d387178748f08d45b}
P\-L\-A\-S\-M\-A\-\_\-chegvd -\/ Computes all eigenvalues and, optionally, eigenvectors of a complex generalized Hermitian-\/definite eigenproblem of the form\-: A$\ast$x=(lambda)$\ast$\-B$\ast$x, A$\ast$\-Bx=(lambda)$\ast$x, or B$\ast$\-A$\ast$x=(lambda)$\ast$x. Here A and B are assumed to be Hermitian and B is also positive definite.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em itype} & Intended usage\-: = 1\-: A$\ast$x=(lambda)$\ast$\-B$\ast$x = 2\-: A$\ast$\-Bx=(lambda)$\ast$x = 3\-: B$\ast$\-A$\ast$x=(lambda)$\ast$x\\
\hline
\mbox{\tt in}  & {\em jobz} & Intended usage\-: = Plasma\-No\-Vec\-: computes eigenvalues only; = Plasma\-Vec\-: computes eigenvalues and eigenvectors.\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the matrix A is upper triangular or lower triangular\-: = Plasma\-Upper\-: Upper triangle of A and B are stored; = Plasma\-Lower\-: Lower triangle of A and B are stored.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the symmetric (or Hermitian) matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if jobz = Plasma\-Vec, then if return value = 0, A contains the matrix Z of eigenvectors. The eigenvectors are normalized as follows\-: if I\-T\-Y\-P\-E = 1 or 2, Z$\ast$$\ast$\-H$\ast$\-B$\ast$\-Z = I; if I\-T\-Y\-P\-E = 3, Z$\ast$$\ast$\-H$\ast$inv(B)$\ast$\-Z = I. If jobz = Plasma\-No\-Vec, then on exit the lower triangle (if uplo = Plasma\-Lower) or the upper triangle (if uplo = Plasma\-Upper) of A, including the diagonal, is destroyed.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the symmetric (or Hermitian) positive definite matrix B. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of B contains the upper triangular part of the matrix B, and the strictly lower triangular part of B is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of B contains the lower triangular part of the matrix B, and the strictly upper triangular part of B is not referenced. On exit, if return value $<$= N, the part of B containing the matrix is overwritten by the triangular factor U or L from the Cholesky factorization B = U$\ast$$\ast$\-H$\ast$\-U or B = L$\ast$\-L$\ast$$\ast$\-H.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt out}  & {\em W} & On exit, if info = 0, the eigenvalues.\\
\hline
\mbox{\tt in,out}  & {\em desc\-T} & On entry, descriptor as return by P\-L\-A\-S\-M\-A\-\_\-\-Alloc\-\_\-\-Workspace\-\_\-chegvd On exit, contains auxiliary factorization data.\\
\hline
\mbox{\tt out}  & {\em Q} & On exit, if jobz = Plasma\-Vec and info = 0, the eigenvectors.\\
\hline
\mbox{\tt in}  & {\em L\-D\-Q} & The leading dimension of Q.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $<$=\-N} & if I\-N\-F\-O = i, plasma\-\_\-chegvd failed to converge; i off-\/diagonal elements of an intermediate tridiagonal form did not converge to zero. \\
\hline
{\em $>$\-N} & if I\-N\-F\-O = N + i, for 1 $<$= i $<$= N, then the leading minor of order i of B is not positive definite. The factorization of B could not be completed and no eigenvalues or eigenvectors were computed.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gac9d427b6959269c5b52a480d279add03_gac9d427b6959269c5b52a480d279add03}{P\-L\-A\-S\-M\-A\-\_\-chegvd\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gae780d060a37f6113c5cdbe6aa9f9fc1a_gae780d060a37f6113c5cdbe6aa9f9fc1a}{P\-L\-A\-S\-M\-A\-\_\-chegvd\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga7c4d8cc52849439d387178748f08d45b_ga7c4d8cc52849439d387178748f08d45b}{P\-L\-A\-S\-M\-A\-\_\-chegvd} 

\hyperlink{group__double_ga10b8c70c33dfee0cbbe6acb17217f717_ga10b8c70c33dfee0cbbe6acb17217f717}{P\-L\-A\-S\-M\-A\-\_\-dsygvd} 

\hyperlink{group__float_ga366bd2466847e2b9f29bd39a9d699fb9_ga366bd2466847e2b9f29bd39a9d699fb9}{P\-L\-A\-S\-M\-A\-\_\-ssygvd} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga5eccc301c2b8ed5497c8149d002d3ca8_ga5eccc301c2b8ed5497c8149d002d3ca8}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-chemm@{P\-L\-A\-S\-M\-A\-\_\-chemm}}
\index{P\-L\-A\-S\-M\-A\-\_\-chemm@{P\-L\-A\-S\-M\-A\-\_\-chemm}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-chemm}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-chemm (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{side, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{beta, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{C, }
\item[{int}]{L\-D\-C}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga5eccc301c2b8ed5497c8149d002d3ca8_ga5eccc301c2b8ed5497c8149d002d3ca8}
P\-L\-A\-S\-M\-A\-\_\-chemm -\/ Performs one of the matrix-\/matrix operations

\[ C = \alpha \times A \times B + \beta \times C \]

or

\[ C = \alpha \times B \times A + \beta \times C \]

where alpha and beta are scalars, A is an hermitian matrix and B and C are m by n matrices.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em side} & Specifies whether the hermitian matrix A appears on the left or right in the operation as follows\-: = Plasma\-Left\-: \[ C = \alpha \times A \times B + \beta \times C \] = Plasma\-Right\-: \[ C = \alpha \times B \times A + \beta \times C \]\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the upper or lower triangular part of the hermitian matrix A is to be referenced as follows\-: = Plasma\-Lower\-: Only the lower triangular part of the hermitian matrix A is to be referenced. = Plasma\-Upper\-: Only the upper triangular part of the hermitian matrix A is to be referenced.\\
\hline
\mbox{\tt in}  & {\em M} & Specifies the number of rows of the matrix C. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & Specifies the number of columns of the matrix C. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em alpha} & Specifies the scalar alpha.\\
\hline
\mbox{\tt in}  & {\em A} & A is a L\-D\-A-\/by-\/ka matrix, where ka is M when side = Plasma\-Left, and is N otherwise. Only the uplo triangular part is referenced.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,ka).\\
\hline
\mbox{\tt in}  & {\em B} & B is a L\-D\-B-\/by-\/\-N matrix, where the leading M-\/by-\/\-N part of the array B must contain the matrix B.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-M).\\
\hline
\mbox{\tt in}  & {\em beta} & Specifies the scalar beta.\\
\hline
\mbox{\tt in,out}  & {\em C} & C is a L\-D\-C-\/by-\/\-N matrix. On exit, the array is overwritten by the M by N updated matrix.\\
\hline
\mbox{\tt in}  & {\em L\-D\-C} & The leading dimension of the array C. L\-D\-C $>$= max(1,\-M).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga6d553cf8e43797cb052c70a8006d8b6b_ga6d553cf8e43797cb052c70a8006d8b6b}{P\-L\-A\-S\-M\-A\-\_\-chemm\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t_ga5eccc301c2b8ed5497c8149d002d3ca8_ga5eccc301c2b8ed5497c8149d002d3ca8}{P\-L\-A\-S\-M\-A\-\_\-chemm} 

P\-L\-A\-S\-M\-A\-\_\-dhemm 

P\-L\-A\-S\-M\-A\-\_\-shemm 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga2174f460c8b3a319d83f5890688c53af_ga2174f460c8b3a319d83f5890688c53af}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cher2k@{P\-L\-A\-S\-M\-A\-\_\-cher2k}}
\index{P\-L\-A\-S\-M\-A\-\_\-cher2k@{P\-L\-A\-S\-M\-A\-\_\-cher2k}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cher2k}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cher2k (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans, }
\item[{int}]{N, }
\item[{int}]{K, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B, }
\item[{float}]{beta, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{C, }
\item[{int}]{L\-D\-C}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga2174f460c8b3a319d83f5890688c53af_ga2174f460c8b3a319d83f5890688c53af}
P\-L\-A\-S\-M\-A\-\_\-cher2k -\/ Performs one of the hermitian rank 2k operations

\[ C = \alpha [ op( A ) \times conjfg( op( B )' )] + conjfg( \alpha ) [ op( B ) \times conjfg( op( A )' )] + \beta C \], or \[ C = \alpha [ conjfg( op( A )' ) \times op( B ) ] + conjfg( \alpha ) [ conjfg( op( B )' ) \times op( A ) ] + \beta C \],

where op( X ) is one of

op( X ) = X or op( X ) = conjfg( X' )

where alpha and beta are real scalars, C is an n-\/by-\/n symmetric matrix and A and B are an n-\/by-\/k matrices the first case and k-\/by-\/n matrices in the second case.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of C is stored; = Plasma\-Lower\-: Lower triangle of C is stored.\\
\hline
\mbox{\tt in}  & {\em trans} & Specifies whether the matrix A is transposed or conjfugate transposed\-: = Plasma\-No\-Trans\-: \[ C = \alpha [ op( A ) \times conjfg( op( B )' )] + conjfg( \alpha ) [ op( B ) \times conjfg( op( A )' )] + \beta C \] = Plasma\-Conj\-Trans\-: \[ C = \alpha [ conjfg( op( A )' ) \times op( B ) ] + conjfg( \alpha ) [ conjfg( op( B )' ) \times op( A ) ] + \beta C \]\\
\hline
\mbox{\tt in}  & {\em N} & N specifies the order of the matrix C. N must be at least zero.\\
\hline
\mbox{\tt in}  & {\em K} & K specifies the number of columns of the A and B matrices with trans = Plasma\-No\-Trans. K specifies the number of rows of the A and B matrices with trans = Plasma\-Trans.\\
\hline
\mbox{\tt in}  & {\em alpha} & alpha specifies the scalar alpha.\\
\hline
\mbox{\tt in}  & {\em A} & A is a L\-D\-A-\/by-\/ka matrix, where ka is K when trans = Plasma\-No\-Trans, and is N otherwise.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A must be at least max( 1, N ), otherwise L\-D\-A must be at least max( 1, K ).\\
\hline
\mbox{\tt in}  & {\em B} & B is a L\-D\-B-\/by-\/kb matrix, where kb is K when trans = Plasma\-No\-Trans, and is N otherwise.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B must be at least max( 1, N ), otherwise L\-D\-B must be at least max( 1, K ).\\
\hline
\mbox{\tt in}  & {\em beta} & beta specifies the scalar beta.\\
\hline
\mbox{\tt in,out}  & {\em C} & C is a L\-D\-C-\/by-\/\-N matrix. On exit, the array uplo part of the matrix is overwritten by the uplo part of the updated matrix.\\
\hline
\mbox{\tt in}  & {\em L\-D\-C} & The leading dimension of the array C. L\-D\-C $>$= max( 1, N ).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaee84da440cf5aa93264a72fd249ad5af_gaee84da440cf5aa93264a72fd249ad5af}{P\-L\-A\-S\-M\-A\-\_\-cher2k\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t_ga2174f460c8b3a319d83f5890688c53af_ga2174f460c8b3a319d83f5890688c53af}{P\-L\-A\-S\-M\-A\-\_\-cher2k} 

P\-L\-A\-S\-M\-A\-\_\-dher2k 

P\-L\-A\-S\-M\-A\-\_\-sher2k 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga218b2a902b2a05b10c19161c88b2065a_ga218b2a902b2a05b10c19161c88b2065a}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cherk@{P\-L\-A\-S\-M\-A\-\_\-cherk}}
\index{P\-L\-A\-S\-M\-A\-\_\-cherk@{P\-L\-A\-S\-M\-A\-\_\-cherk}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cherk}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cherk (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans, }
\item[{int}]{N, }
\item[{int}]{K, }
\item[{float}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{float}]{beta, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{C, }
\item[{int}]{L\-D\-C}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga218b2a902b2a05b10c19161c88b2065a_ga218b2a902b2a05b10c19161c88b2065a}
P\-L\-A\-S\-M\-A\-\_\-cherk -\/ Performs one of the hermitian rank k operations

\[ C = \alpha [ op( A ) \times conjfg( op( A )' )] + \beta C \],

where op( X ) is one of

op( X ) = X or op( X ) = conjfg( X' )

where alpha and beta are real scalars, C is an n-\/by-\/n hermitian matrix and A is an n-\/by-\/k matrix in the first case and a k-\/by-\/n matrix in the second case.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of C is stored; = Plasma\-Lower\-: Lower triangle of C is stored.\\
\hline
\mbox{\tt in}  & {\em trans} & Specifies whether the matrix A is transposed or conjfugate transposed\-: = Plasma\-No\-Trans\-: A is not transposed; = Plasma\-Conj\-Trans\-: A is conjfugate transposed.\\
\hline
\mbox{\tt in}  & {\em N} & N specifies the order of the matrix C. N must be at least zero.\\
\hline
\mbox{\tt in}  & {\em K} & K specifies the number of columns of the matrix op( A ).\\
\hline
\mbox{\tt in}  & {\em alpha} & alpha specifies the scalar alpha.\\
\hline
\mbox{\tt in}  & {\em A} & A is a L\-D\-A-\/by-\/ka matrix, where ka is K when trans = Plasma\-No\-Trans, and is N otherwise.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A must be at least max( 1, N ) if trans == Plasma\-No\-Trans, otherwise L\-D\-A must be at least max( 1, K ).\\
\hline
\mbox{\tt in}  & {\em beta} & beta specifies the scalar beta\\
\hline
\mbox{\tt in,out}  & {\em C} & C is a L\-D\-C-\/by-\/\-N matrix. On exit, the array uplo part of the matrix is overwritten by the uplo part of the updated matrix.\\
\hline
\mbox{\tt in}  & {\em L\-D\-C} & The leading dimension of the array C. L\-D\-C $>$= max( 1, N ).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga1f31a0502f57ea6dc05fd7ad5aaed0e3_ga1f31a0502f57ea6dc05fd7ad5aaed0e3}{P\-L\-A\-S\-M\-A\-\_\-cherk\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t_ga218b2a902b2a05b10c19161c88b2065a_ga218b2a902b2a05b10c19161c88b2065a}{P\-L\-A\-S\-M\-A\-\_\-cherk} 

P\-L\-A\-S\-M\-A\-\_\-dherk 

P\-L\-A\-S\-M\-A\-\_\-sherk 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga72efb6e6664acbda79f267c167eae41c_ga72efb6e6664acbda79f267c167eae41c}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-chetrd@{P\-L\-A\-S\-M\-A\-\_\-chetrd}}
\index{P\-L\-A\-S\-M\-A\-\_\-chetrd@{P\-L\-A\-S\-M\-A\-\_\-chetrd}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-chetrd}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-chetrd (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{jobz, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{float $\ast$}]{D, }
\item[{float $\ast$}]{E, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{Q, }
\item[{int}]{L\-D\-Q}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga72efb6e6664acbda79f267c167eae41c_ga72efb6e6664acbda79f267c167eae41c}
P\-L\-A\-S\-M\-A\-\_\-chetrd -\/ reduces a complex Hermitian matrix A to real symmetric tridiagonal form S using a two-\/stage approach First stage\-: reduction to band tridiagonal form (unitary Q1); Second stage\-: reduction from band to tridiagonal form (unitary Q2). Let Q = Q1 $\ast$ Q2 be the global unitary transformation; Q$\ast$$\ast$\-H $\ast$ A $\ast$ Q = S.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em jobz} & Intended usage\-: = Plasma\-No\-Vec\-: computes tridiagonal only; = Plasma\-Vec\-: computes tridiagonal and generate the orthogonal matrix Q.\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the matrix A is upper triangular or lower triangular\-: = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the symmetric (or Hermitian) matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, the lower triangle (if uplo = Plasma\-Lower) or the upper triangle (if uplo = Plasma\-Upper) of A, including the diagonal, is destroyed.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt out}  & {\em D} & On exit, the diagonal elements of the tridiagonal matrix\-: D(i) = A(i,i).\\
\hline
\mbox{\tt out}  & {\em E} & On exit, he off-\/diagonal elements of the tridiagonal matrix\-: E(i) = A(i,i+1) if uplo = Plasma\-Upper, E(i) = A(i+1,i) if uplo = Plasma\-Lower.\\
\hline
\mbox{\tt out}  & {\em desc\-T} & On entry, descriptor as return by P\-L\-A\-S\-M\-A\-\_\-\-Alloc\-\_\-\-Workspace\-\_\-chetrd On exit, contains auxiliary factorization data.\\
\hline
\mbox{\tt out}  & {\em Q} & On exit, if jobz = Plasma\-Vec, then if return value = 0, Q contains the N-\/by-\/\-N unitary matrix Q. If jobz = Plasma\-No\-Vec, then it is not referenced.\\
\hline
\mbox{\tt in}  & {\em L\-D\-Q} & The leading dimension of the array Q. L\-D\-Q $>$= N.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if I\-N\-F\-O = i, the algorithm failed to converge; i off-\/diagonal elements of an intermediate tridiagonal form did not converge to zero.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga6c29f2e89e4be85ec467c2886a2d5f4c_ga6c29f2e89e4be85ec467c2886a2d5f4c}{P\-L\-A\-S\-M\-A\-\_\-chetrd\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga4998a0da7c65a0bb81861994c7a3b1bd_ga4998a0da7c65a0bb81861994c7a3b1bd}{P\-L\-A\-S\-M\-A\-\_\-chetrd\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga72efb6e6664acbda79f267c167eae41c_ga72efb6e6664acbda79f267c167eae41c}{P\-L\-A\-S\-M\-A\-\_\-chetrd} 

\hyperlink{group__double_gaebb037c30606f77404ffef513f255d5c_gaebb037c30606f77404ffef513f255d5c}{P\-L\-A\-S\-M\-A\-\_\-dsytrd} 

\hyperlink{group__float_gadfee26871dee9a24b201bc329fccd81b_gadfee26871dee9a24b201bc329fccd81b}{P\-L\-A\-S\-M\-A\-\_\-ssytrd} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga898cba57b9144416a37de9c72386c58a_ga898cba57b9144416a37de9c72386c58a}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-clacpy@{P\-L\-A\-S\-M\-A\-\_\-clacpy}}
\index{P\-L\-A\-S\-M\-A\-\_\-clacpy@{P\-L\-A\-S\-M\-A\-\_\-clacpy}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-clacpy}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-clacpy (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga898cba57b9144416a37de9c72386c58a_ga898cba57b9144416a37de9c72386c58a}
P\-L\-A\-S\-M\-A\-\_\-clacpy copies all or part of a two-\/dimensional matrix A to another matrix B


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & Specifies the part of the matrix A to be copied to B. = Plasma\-Upper\-Lower\-: All the matrix A = Plasma\-Upper\-: Upper triangular part = Plasma\-Lower\-: Lower triangular part\\
\hline
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & The M-\/by-\/\-N matrix A. If uplo = Plasma\-Upper, only the upper trapezium is accessed; if U\-P\-L\-O = Plasma\-Lower, only the lower trapezium is accessed.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt out}  & {\em B} & The M-\/by-\/\-N matrix B. On exit, B = A in the locations specified by U\-P\-L\-O.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-M).\\
\hline
\end{DoxyParams}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaa4715d63061e309c11912ce25263d54b_gaa4715d63061e309c11912ce25263d54b}{P\-L\-A\-S\-M\-A\-\_\-clacpy\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga88e2c85c4e64c2bcfaef5258f434d109_ga88e2c85c4e64c2bcfaef5258f434d109}{P\-L\-A\-S\-M\-A\-\_\-clacpy\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga898cba57b9144416a37de9c72386c58a_ga898cba57b9144416a37de9c72386c58a}{P\-L\-A\-S\-M\-A\-\_\-clacpy} 

\hyperlink{group__double_gaa1c69f5b82fa24bd925055b4e0595dab_gaa1c69f5b82fa24bd925055b4e0595dab}{P\-L\-A\-S\-M\-A\-\_\-dlacpy} 

\hyperlink{group__float_ga2ae5e8cc7cf6222bf521a6decd6c27a1_ga2ae5e8cc7cf6222bf521a6decd6c27a1}{P\-L\-A\-S\-M\-A\-\_\-slacpy} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga4520d4c444c0e4966fe0d261b175c3cd_ga4520d4c444c0e4966fe0d261b175c3cd}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-clange@{P\-L\-A\-S\-M\-A\-\_\-clange}}
\index{P\-L\-A\-S\-M\-A\-\_\-clange@{P\-L\-A\-S\-M\-A\-\_\-clange}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-clange}]{\setlength{\rightskip}{0pt plus 5cm}float P\-L\-A\-S\-M\-A\-\_\-clange (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{norm, }
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{float $\ast$}]{work}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga4520d4c444c0e4966fe0d261b175c3cd_ga4520d4c444c0e4966fe0d261b175c3cd}
P\-L\-A\-S\-M\-A\-\_\-clange returns the value

clange = ( max(abs(A(i,j))), N\-O\-R\-M = Plasma\-Max\-Norm ( ( norm1(\-A), N\-O\-R\-M = Plasma\-One\-Norm ( ( norm\-I(\-A), N\-O\-R\-M = Plasma\-Inf\-Norm ( ( norm\-F(\-A), N\-O\-R\-M = Plasma\-Frobenius\-Norm

where norm1 denotes the one norm of a matrix (maximum column sum), norm\-I denotes the infinity norm of a matrix (maximum row sum) and norm\-F denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em norm} & = Plasma\-Max\-Norm\-: Max norm = Plasma\-One\-Norm\-: One norm = Plasma\-Inf\-Norm\-: Infinity norm = Plasma\-Frobenius\-Norm\-: Frobenius norm\\
\hline
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0. When M = 0, the returned value is set to zero.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= 0. When N = 0, the returned value is set to zero.\\
\hline
\mbox{\tt in}  & {\em A} & The M-\/by-\/\-N matrix A.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt in}  & {\em work} & real array of dimension (M\-A\-X(1,\-L\-W\-O\-R\-K)), where L\-W\-O\-R\-K $>$= M when N\-O\-R\-M = Plasma\-Inf\-Norm; otherwise, W\-O\-R\-K is not referenced.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em the} & norm described above.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaad09ed561db83ac9824b9ef272745707_gaad09ed561db83ac9824b9ef272745707}{P\-L\-A\-S\-M\-A\-\_\-clange\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gaccbbb4ea8e672d9b0cc6991d45be82fa_gaccbbb4ea8e672d9b0cc6991d45be82fa}{P\-L\-A\-S\-M\-A\-\_\-clange\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga4520d4c444c0e4966fe0d261b175c3cd_ga4520d4c444c0e4966fe0d261b175c3cd}{P\-L\-A\-S\-M\-A\-\_\-clange} 

\hyperlink{group__double_gae51aee6b673e80bd606956ae6af92fbd_gae51aee6b673e80bd606956ae6af92fbd}{P\-L\-A\-S\-M\-A\-\_\-dlange} 

\hyperlink{group__float_ga778abdd6cc24bde2e6c7d41a2a563479_ga778abdd6cc24bde2e6c7d41a2a563479}{P\-L\-A\-S\-M\-A\-\_\-slange} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gaf609bd2319064273abdfacf8c733340f_gaf609bd2319064273abdfacf8c733340f}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-clanhe@{P\-L\-A\-S\-M\-A\-\_\-clanhe}}
\index{P\-L\-A\-S\-M\-A\-\_\-clanhe@{P\-L\-A\-S\-M\-A\-\_\-clanhe}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-clanhe}]{\setlength{\rightskip}{0pt plus 5cm}float P\-L\-A\-S\-M\-A\-\_\-clanhe (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{norm, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{float $\ast$}]{work}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gaf609bd2319064273abdfacf8c733340f_gaf609bd2319064273abdfacf8c733340f}
P\-L\-A\-S\-M\-A\-\_\-clanhe returns the value

clanhe = ( max(abs(A(i,j))), N\-O\-R\-M = Plasma\-Max\-Norm ( ( norm1(\-A), N\-O\-R\-M = Plasma\-One\-Norm ( ( norm\-I(\-A), N\-O\-R\-M = Plasma\-Inf\-Norm ( ( norm\-F(\-A), N\-O\-R\-M = Plasma\-Frobenius\-Norm

where norm1 denotes the one norm of a matrix (maximum column sum), norm\-I denotes the infinity norm of a matrix (maximum row sum) and norm\-F denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em norm} & = Plasma\-Max\-Norm\-: Max norm = Plasma\-One\-Norm\-: One norm = Plasma\-Inf\-Norm\-: Infinity norm = Plasma\-Frobenius\-Norm\-: Frobenius norm\\
\hline
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns/rows of the matrix A. N $>$= 0. When N = 0, the returned value is set to zero.\\
\hline
\mbox{\tt in}  & {\em A} & The N-\/by-\/\-N matrix A.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in}  & {\em work} & real array of dimension P\-L\-A\-S\-M\-A\-\_\-\-S\-I\-Z\-E is P\-L\-A\-S\-M\-A\-\_\-\-S\-T\-A\-T\-I\-C\-\_\-\-S\-C\-H\-E\-D\-U\-L\-I\-N\-G is used, and N\-U\-L\-L otherwise.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em the} & norm described above.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaa61fc00d11100d125d98a9448edef3bb_gaa61fc00d11100d125d98a9448edef3bb}{P\-L\-A\-S\-M\-A\-\_\-clanhe\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga01a47c6b11db4d3ec90166ef56d68bd9_ga01a47c6b11db4d3ec90166ef56d68bd9}{P\-L\-A\-S\-M\-A\-\_\-clanhe\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gaf609bd2319064273abdfacf8c733340f_gaf609bd2319064273abdfacf8c733340f}{P\-L\-A\-S\-M\-A\-\_\-clanhe} 

P\-L\-A\-S\-M\-A\-\_\-dlanhe 

P\-L\-A\-S\-M\-A\-\_\-slanhe 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga4c705dba935087686f8fdaa1e676b9f8_ga4c705dba935087686f8fdaa1e676b9f8}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-clansy@{P\-L\-A\-S\-M\-A\-\_\-clansy}}
\index{P\-L\-A\-S\-M\-A\-\_\-clansy@{P\-L\-A\-S\-M\-A\-\_\-clansy}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-clansy}]{\setlength{\rightskip}{0pt plus 5cm}float P\-L\-A\-S\-M\-A\-\_\-clansy (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{norm, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{float $\ast$}]{work}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga4c705dba935087686f8fdaa1e676b9f8_ga4c705dba935087686f8fdaa1e676b9f8}
P\-L\-A\-S\-M\-A\-\_\-clansy returns the value

clansy = ( max(abs(A(i,j))), N\-O\-R\-M = Plasma\-Max\-Norm ( ( norm1(\-A), N\-O\-R\-M = Plasma\-One\-Norm ( ( norm\-I(\-A), N\-O\-R\-M = Plasma\-Inf\-Norm ( ( norm\-F(\-A), N\-O\-R\-M = Plasma\-Frobenius\-Norm

where norm1 denotes the one norm of a matrix (maximum column sum), norm\-I denotes the infinity norm of a matrix (maximum row sum) and norm\-F denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em norm} & = Plasma\-Max\-Norm\-: Max norm = Plasma\-One\-Norm\-: One norm = Plasma\-Inf\-Norm\-: Infinity norm = Plasma\-Frobenius\-Norm\-: Frobenius norm\\
\hline
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns/rows of the matrix A. N $>$= 0. When N = 0, the returned value is set to zero.\\
\hline
\mbox{\tt in}  & {\em A} & The N-\/by-\/\-N matrix A.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in}  & {\em work} & real array of dimension P\-L\-A\-S\-M\-A\-\_\-\-S\-I\-Z\-E is P\-L\-A\-S\-M\-A\-\_\-\-S\-T\-A\-T\-I\-C\-\_\-\-S\-C\-H\-E\-D\-U\-L\-I\-N\-G is used, and N\-U\-L\-L otherwise.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em the} & norm described above.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga791547124f533aecb9f31fe98b68acd1_ga791547124f533aecb9f31fe98b68acd1}{P\-L\-A\-S\-M\-A\-\_\-clansy\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga190a3f9db24f46f77f1d53970569c2df_ga190a3f9db24f46f77f1d53970569c2df}{P\-L\-A\-S\-M\-A\-\_\-clansy\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga4c705dba935087686f8fdaa1e676b9f8_ga4c705dba935087686f8fdaa1e676b9f8}{P\-L\-A\-S\-M\-A\-\_\-clansy} 

\hyperlink{group__double_ga541f5864b15b169ab01998abb2c776ec_ga541f5864b15b169ab01998abb2c776ec}{P\-L\-A\-S\-M\-A\-\_\-dlansy} 

\hyperlink{group__float_gaa06de2986c0e12814a57e4def6110223_gaa06de2986c0e12814a57e4def6110223}{P\-L\-A\-S\-M\-A\-\_\-slansy} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga44c99c1388a7830a6efbc4fc1ab328f3_ga44c99c1388a7830a6efbc4fc1ab328f3}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile@{P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile}}
\index{P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile@{P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{Af77, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{A}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga44c99c1388a7830a6efbc4fc1ab328f3_ga44c99c1388a7830a6efbc4fc1ab328f3}
P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile -\/ Conversion from L\-A\-P\-A\-C\-K layout to tile layout.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em Af77} & L\-A\-P\-A\-C\-K matrix.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the matrix Af77.\\
\hline
\mbox{\tt in,out}  & {\em A} & Descriptor of the P\-L\-A\-S\-M\-A matrix in tile layout. If P\-L\-A\-S\-M\-A\-\_\-\-T\-R\-A\-N\-S\-L\-A\-T\-I\-O\-N\-\_\-\-M\-O\-D\-E is set to P\-L\-A\-S\-M\-A\-\_\-\-I\-N\-P\-L\-A\-C\-E, A-\/$>$mat is not used and set to Af77 when returns, else if P\-L\-A\-S\-M\-A\-\_\-\-T\-R\-A\-N\-S\-L\-A\-T\-I\-O\-N\-\_\-\-M\-O\-D\-E is set to P\-L\-A\-S\-M\-A\-\_\-\-O\-U\-T\-O\-F\-P\-L\-A\-C\-E, A-\/$>$mat has to be allocated before.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga9a17887354d09549a2a831e647eff928_ga9a17887354d09549a2a831e647eff928}{P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga7dce142b920d792a0443efcc922c71fc_ga7dce142b920d792a0443efcc922c71fc}{P\-L\-A\-S\-M\-A\-\_\-c\-Tile\-\_\-to\-\_\-\-Lapack} 

\hyperlink{group__PLASMA__Complex32__t_ga44c99c1388a7830a6efbc4fc1ab328f3_ga44c99c1388a7830a6efbc4fc1ab328f3}{P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile} 

\hyperlink{group__double_ga36e9254b8f24778e1aed6bcee1165450_ga36e9254b8f24778e1aed6bcee1165450}{P\-L\-A\-S\-M\-A\-\_\-d\-Lapack\-\_\-to\-\_\-\-Tile} 

\hyperlink{group__float_gaad3dd3212d3d774f44094c3f0835ef22_gaad3dd3212d3d774f44094c3f0835ef22}{P\-L\-A\-S\-M\-A\-\_\-s\-Lapack\-\_\-to\-\_\-\-Tile} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gabe5cbe444d3395d525dad261b92295f0_gabe5cbe444d3395d525dad261b92295f0}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-claset@{P\-L\-A\-S\-M\-A\-\_\-claset}}
\index{P\-L\-A\-S\-M\-A\-\_\-claset@{P\-L\-A\-S\-M\-A\-\_\-claset}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-claset}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-claset (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{beta, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gabe5cbe444d3395d525dad261b92295f0_gabe5cbe444d3395d525dad261b92295f0}
P\-L\-A\-S\-M\-A\-\_\-claset copies all or part of a two-\/dimensional matrix A to another matrix B


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & Specifies the part of the matrix A to be copied to B. = Plasma\-Upper\-Lower\-: All the matrix A = Plasma\-Upper\-: Upper triangular part is set. The lower triangle is unchanged. = Plasma\-Lower\-: Lower triangular part is set. The upper triangle is unchange.\\
\hline
\mbox{\tt in}  & {\em M} & The number of rows of the matrix A. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em alpha} & All the offdiagonal array elements are set to alpha.\\
\hline
\mbox{\tt in}  & {\em beta} & All the diagonal array elements are set to beta.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the m by n matrix A. On exit, A(i,j) = A\-L\-P\-H\-A, 1 $<$= i $<$= m, 1 $<$= j $<$= n, i.\-ne.\-j; A(i,i) = B\-E\-T\-A, 1 $<$= i $<$= min(m,n)\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\end{DoxyParams}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga025c3fe9b02c867d0c1db933adaed996_ga025c3fe9b02c867d0c1db933adaed996}{P\-L\-A\-S\-M\-A\-\_\-claset\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga37fdc0526d96baa410a7346b11e383c6_ga37fdc0526d96baa410a7346b11e383c6}{P\-L\-A\-S\-M\-A\-\_\-claset\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gabe5cbe444d3395d525dad261b92295f0_gabe5cbe444d3395d525dad261b92295f0}{P\-L\-A\-S\-M\-A\-\_\-claset} 

\hyperlink{group__double_ga2b2e191b49f6e0fede1bcd352bcd14af_ga2b2e191b49f6e0fede1bcd352bcd14af}{P\-L\-A\-S\-M\-A\-\_\-dlaset} 

\hyperlink{group__float_gaeb7486c1cb46dd4a81c11981605c093c_gaeb7486c1cb46dd4a81c11981605c093c}{P\-L\-A\-S\-M\-A\-\_\-slaset} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gace22856d1d438d8d04c90b7423eac23c_gace22856d1d438d8d04c90b7423eac23c}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-claswp@{P\-L\-A\-S\-M\-A\-\_\-claswp}}
\index{P\-L\-A\-S\-M\-A\-\_\-claswp@{P\-L\-A\-S\-M\-A\-\_\-claswp}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-claswp}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-claswp (
\begin{DoxyParamCaption}
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{int}]{K1, }
\item[{int}]{K2, }
\item[{int $\ast$}]{I\-P\-I\-V, }
\item[{int}]{I\-N\-C\-X}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gace22856d1d438d8d04c90b7423eac23c_gace22856d1d438d8d04c90b7423eac23c}
P\-L\-A\-S\-M\-A\-\_\-claswp -\/ performs a series of row interchanges on the matrix A. One row interchange is initiated for each of rows K1 through K2 of A.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & The tile factors L and U from the factorization, computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in}  & {\em K1} & The first element of I\-P\-I\-V for which a row interchange will be done.\\
\hline
\mbox{\tt in}  & {\em K2} & The last element of I\-P\-I\-V for which a row interchange will be done.\\
\hline
\mbox{\tt in}  & {\em I\-P\-I\-V} & The pivot indices from P\-L\-A\-S\-M\-A\-\_\-cgetrf.\\
\hline
\mbox{\tt in}  & {\em I\-N\-C\-X} & The increment between successive values of I\-P\-I\-V. If I\-P\-I\-V is negative, the pivots are applied in reverse order.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
\end{DoxyRetVals}
\begin{DoxyReturn}{Returns}
$<$0 if -\/i, the i-\/th argument had an illegal value
\end{DoxyReturn}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga297f768f91b132da3dbb90f0387b18a5_ga297f768f91b132da3dbb90f0387b18a5}{P\-L\-A\-S\-M\-A\-\_\-claswp\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gaf083aafbb5db6f00d9c8dab805e37174_gaf083aafbb5db6f00d9c8dab805e37174}{P\-L\-A\-S\-M\-A\-\_\-claswp\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gace22856d1d438d8d04c90b7423eac23c_gace22856d1d438d8d04c90b7423eac23c}{P\-L\-A\-S\-M\-A\-\_\-claswp} 

\hyperlink{group__double_ga69516426acd62eb6dadfc92097b9f624_ga69516426acd62eb6dadfc92097b9f624}{P\-L\-A\-S\-M\-A\-\_\-dlaswp} 

\hyperlink{group__float_ga871c63746a94adb61e6c06ebc9126671_ga871c63746a94adb61e6c06ebc9126671}{P\-L\-A\-S\-M\-A\-\_\-slaswp} 

\hyperlink{group__PLASMA__Complex32__t_ga9a372dbe56f1ef00531a284e1bf3a694_ga9a372dbe56f1ef00531a284e1bf3a694}{P\-L\-A\-S\-M\-A\-\_\-cgetrf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gae439a74f48cce6f172f129f5e761b089_gae439a74f48cce6f172f129f5e761b089}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-claswpc@{P\-L\-A\-S\-M\-A\-\_\-claswpc}}
\index{P\-L\-A\-S\-M\-A\-\_\-claswpc@{P\-L\-A\-S\-M\-A\-\_\-claswpc}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-claswpc}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-claswpc (
\begin{DoxyParamCaption}
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{int}]{K1, }
\item[{int}]{K2, }
\item[{int $\ast$}]{I\-P\-I\-V, }
\item[{int}]{I\-N\-C\-X}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gae439a74f48cce6f172f129f5e761b089_gae439a74f48cce6f172f129f5e761b089}
P\-L\-A\-S\-M\-A\-\_\-claswpc -\/ performs a series of row interchanges on the matrix A. One row interchange is initiated for each of rows K1 through K2 of A.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & The tile factors L and U from the factorization, computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in}  & {\em K1} & The first element of I\-P\-I\-V for which a row interchange will be done.\\
\hline
\mbox{\tt in}  & {\em K2} & The last element of I\-P\-I\-V for which a row interchange will be done.\\
\hline
\mbox{\tt in}  & {\em I\-P\-I\-V} & The pivot indices from P\-L\-A\-S\-M\-A\-\_\-cgetrf.\\
\hline
\mbox{\tt in}  & {\em I\-N\-C\-X} & The increment between successive values of I\-P\-I\-V. If I\-P\-I\-V is negative, the pivots are applied in reverse order.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
\end{DoxyRetVals}
\begin{DoxyReturn}{Returns}
$<$0 if -\/i, the i-\/th argument had an illegal value
\end{DoxyReturn}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga5e12abc505310650c4c45769e1a59af4_ga5e12abc505310650c4c45769e1a59af4}{P\-L\-A\-S\-M\-A\-\_\-claswpc\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga16201992bdf0cb0ff1d8d923e65ad013_ga16201992bdf0cb0ff1d8d923e65ad013}{P\-L\-A\-S\-M\-A\-\_\-claswpc\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gae439a74f48cce6f172f129f5e761b089_gae439a74f48cce6f172f129f5e761b089}{P\-L\-A\-S\-M\-A\-\_\-claswpc} 

\hyperlink{group__double_gab4cabd8330cc58001b4b1c16552abbde_gab4cabd8330cc58001b4b1c16552abbde}{P\-L\-A\-S\-M\-A\-\_\-dlaswpc} 

\hyperlink{group__float_ga9172c5d4cdc40b0dae8e87b82ee23b6e_ga9172c5d4cdc40b0dae8e87b82ee23b6e}{P\-L\-A\-S\-M\-A\-\_\-slaswpc} 

\hyperlink{group__PLASMA__Complex32__t_ga9a372dbe56f1ef00531a284e1bf3a694_ga9a372dbe56f1ef00531a284e1bf3a694}{P\-L\-A\-S\-M\-A\-\_\-cgetrf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga937589f5f8ae6b95a4e81589f5471d3e_ga937589f5f8ae6b95a4e81589f5471d3e}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-clauum@{P\-L\-A\-S\-M\-A\-\_\-clauum}}
\index{P\-L\-A\-S\-M\-A\-\_\-clauum@{P\-L\-A\-S\-M\-A\-\_\-clauum}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-clauum}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-clauum (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga937589f5f8ae6b95a4e81589f5471d3e_ga937589f5f8ae6b95a4e81589f5471d3e}
P\-L\-A\-S\-M\-A\-\_\-clauum -\/ Computes the product U $\ast$ U' or L' $\ast$ L, where the triangular factor U or L is stored in the upper or lower triangular part of the array A.

If U\-P\-L\-O = 'U' or 'u' then the upper triangle of the result is stored, overwriting the factor U in A. If U\-P\-L\-O = 'L' or 'l' then the lower triangle of the result is stored, overwriting the factor L in A.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the triangular factor U or L. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the triangular factor U or L. On exit, if U\-P\-L\-O = 'U', the upper triangle of A is overwritten with the upper triangle of the product U $\ast$ U'; if U\-P\-L\-O = 'L', the lower triangle of A is overwritten with the lower triangle of the product L' $\ast$ L.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga15c244125d4fb54daea6f34f78f3cb91_ga15c244125d4fb54daea6f34f78f3cb91}{P\-L\-A\-S\-M\-A\-\_\-clauum\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga73b7ac4d78fb5599919587fa3bbd20c5_ga73b7ac4d78fb5599919587fa3bbd20c5}{P\-L\-A\-S\-M\-A\-\_\-clauum\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga937589f5f8ae6b95a4e81589f5471d3e_ga937589f5f8ae6b95a4e81589f5471d3e}{P\-L\-A\-S\-M\-A\-\_\-clauum} 

\hyperlink{group__double_ga67ff8abfce111a501fb5cec37333756f_ga67ff8abfce111a501fb5cec37333756f}{P\-L\-A\-S\-M\-A\-\_\-dlauum} 

\hyperlink{group__float_gaafb49f230a9c4dbdc635144f46f680f6_gaafb49f230a9c4dbdc635144f46f680f6}{P\-L\-A\-S\-M\-A\-\_\-slauum} 

\hyperlink{group__PLASMA__Complex32__t_ga2bbe242c5e06f243640fb6287b4a85ab_ga2bbe242c5e06f243640fb6287b4a85ab}{P\-L\-A\-S\-M\-A\-\_\-cpotri} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gab2e8cb228186ddf8555009ee5b678b1c_gab2e8cb228186ddf8555009ee5b678b1c}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cplghe@{P\-L\-A\-S\-M\-A\-\_\-cplghe}}
\index{P\-L\-A\-S\-M\-A\-\_\-cplghe@{P\-L\-A\-S\-M\-A\-\_\-cplghe}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cplghe}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cplghe (
\begin{DoxyParamCaption}
\item[{float}]{bump, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{unsigned long long int}]{seed}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gab2e8cb228186ddf8555009ee5b678b1c_gab2e8cb228186ddf8555009ee5b678b1c}
P\-L\-A\-S\-M\-A\-\_\-cplghe -\/ Generate a random hermitian matrix by tiles.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em bump} & The value to add to the diagonal to be sure to have a positive definite matrix.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt out}  & {\em A} & On exit, The random hermitian matrix A generated.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt in}  & {\em seed} & The seed used in the random generation.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga9a7795350dc0e4b9d67237199aeefd68_ga9a7795350dc0e4b9d67237199aeefd68}{P\-L\-A\-S\-M\-A\-\_\-cplghe\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gab957768cccc691601cd0346821e5c7d4_gab957768cccc691601cd0346821e5c7d4}{P\-L\-A\-S\-M\-A\-\_\-cplghe\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gab2e8cb228186ddf8555009ee5b678b1c_gab2e8cb228186ddf8555009ee5b678b1c}{P\-L\-A\-S\-M\-A\-\_\-cplghe} 

P\-L\-A\-S\-M\-A\-\_\-dplghe 

P\-L\-A\-S\-M\-A\-\_\-splghe 

\hyperlink{group__PLASMA__Complex32__t_gadc1ab86fbc4e1acd67411bcf7d18ccc1_gadc1ab86fbc4e1acd67411bcf7d18ccc1}{P\-L\-A\-S\-M\-A\-\_\-cplrnt} 

\hyperlink{group__PLASMA__Complex32__t_ga3fc244eb71f8484ede01d0a8fb8b7243_ga3fc244eb71f8484ede01d0a8fb8b7243}{P\-L\-A\-S\-M\-A\-\_\-cplgsy} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga3fc244eb71f8484ede01d0a8fb8b7243_ga3fc244eb71f8484ede01d0a8fb8b7243}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cplgsy@{P\-L\-A\-S\-M\-A\-\_\-cplgsy}}
\index{P\-L\-A\-S\-M\-A\-\_\-cplgsy@{P\-L\-A\-S\-M\-A\-\_\-cplgsy}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cplgsy}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cplgsy (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{bump, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{unsigned long long int}]{seed}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga3fc244eb71f8484ede01d0a8fb8b7243_ga3fc244eb71f8484ede01d0a8fb8b7243}
P\-L\-A\-S\-M\-A\-\_\-cplgsy -\/ Generate a random hermitian matrix by tiles.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em bump} & The value to add to the diagonal to be sure to have a positive definite matrix.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt out}  & {\em A} & On exit, The random hermitian matrix A generated.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt in}  & {\em seed} & The seed used in the random generation.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga36bc617572390e4a33c78c9151e4d3cb_ga36bc617572390e4a33c78c9151e4d3cb}{P\-L\-A\-S\-M\-A\-\_\-cplgsy\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga61e354c36bb84bcdc1242c608e78cc83_ga61e354c36bb84bcdc1242c608e78cc83}{P\-L\-A\-S\-M\-A\-\_\-cplgsy\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga3fc244eb71f8484ede01d0a8fb8b7243_ga3fc244eb71f8484ede01d0a8fb8b7243}{P\-L\-A\-S\-M\-A\-\_\-cplgsy} 

\hyperlink{group__double_ga267c9f85256181c2024279e1dc55e84b_ga267c9f85256181c2024279e1dc55e84b}{P\-L\-A\-S\-M\-A\-\_\-dplgsy} 

\hyperlink{group__float_ga949e065a6843e3d20ebc74741ccec2e2_ga949e065a6843e3d20ebc74741ccec2e2}{P\-L\-A\-S\-M\-A\-\_\-splgsy} 

\hyperlink{group__PLASMA__Complex32__t_gadc1ab86fbc4e1acd67411bcf7d18ccc1_gadc1ab86fbc4e1acd67411bcf7d18ccc1}{P\-L\-A\-S\-M\-A\-\_\-cplrnt} 

\hyperlink{group__PLASMA__Complex32__t_ga3fc244eb71f8484ede01d0a8fb8b7243_ga3fc244eb71f8484ede01d0a8fb8b7243}{P\-L\-A\-S\-M\-A\-\_\-cplgsy} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gadc1ab86fbc4e1acd67411bcf7d18ccc1_gadc1ab86fbc4e1acd67411bcf7d18ccc1}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cplrnt@{P\-L\-A\-S\-M\-A\-\_\-cplrnt}}
\index{P\-L\-A\-S\-M\-A\-\_\-cplrnt@{P\-L\-A\-S\-M\-A\-\_\-cplrnt}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cplrnt}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cplrnt (
\begin{DoxyParamCaption}
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{unsigned long long int}]{seed}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gadc1ab86fbc4e1acd67411bcf7d18ccc1_gadc1ab86fbc4e1acd67411bcf7d18ccc1}
P\-L\-A\-S\-M\-A\-\_\-cplrnt -\/ Generate a random matrix by tiles.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em M} & The number of rows of A.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt out}  & {\em A} & On exit, The random matrix A generated.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt in}  & {\em seed} & The seed used in the random generation.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga1d7921e6e4423d7300c9523f62b0aae8_ga1d7921e6e4423d7300c9523f62b0aae8}{P\-L\-A\-S\-M\-A\-\_\-cplrnt\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gaa88bc1e1488c6aa0b7c47b3140641caf_gaa88bc1e1488c6aa0b7c47b3140641caf}{P\-L\-A\-S\-M\-A\-\_\-cplrnt\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gadc1ab86fbc4e1acd67411bcf7d18ccc1_gadc1ab86fbc4e1acd67411bcf7d18ccc1}{P\-L\-A\-S\-M\-A\-\_\-cplrnt} 

\hyperlink{group__double_gafca5b7ac3183e0a107df9f88ecde4cdf_gafca5b7ac3183e0a107df9f88ecde4cdf}{P\-L\-A\-S\-M\-A\-\_\-dplrnt} 

\hyperlink{group__float_ga1ab9b8f017c16245b0f44ab6f4798dfd_ga1ab9b8f017c16245b0f44ab6f4798dfd}{P\-L\-A\-S\-M\-A\-\_\-splrnt} 

\hyperlink{group__PLASMA__Complex32__t_gab2e8cb228186ddf8555009ee5b678b1c_gab2e8cb228186ddf8555009ee5b678b1c}{P\-L\-A\-S\-M\-A\-\_\-cplghe} 

\hyperlink{group__PLASMA__Complex32__t_ga3fc244eb71f8484ede01d0a8fb8b7243_ga3fc244eb71f8484ede01d0a8fb8b7243}{P\-L\-A\-S\-M\-A\-\_\-cplgsy} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gacb9e52ca26891e283878a10c6b7f24b7_gacb9e52ca26891e283878a10c6b7f24b7}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cposv@{P\-L\-A\-S\-M\-A\-\_\-cposv}}
\index{P\-L\-A\-S\-M\-A\-\_\-cposv@{P\-L\-A\-S\-M\-A\-\_\-cposv}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cposv}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cposv (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gacb9e52ca26891e283878a10c6b7f24b7_gacb9e52ca26891e283878a10c6b7f24b7}
P\-L\-A\-S\-M\-A\-\_\-cposv -\/ Computes the solution to a system of linear equations A $\ast$ X = B, where A is an N-\/by-\/\-N symmetric positive definite (or Hermitian positive definite in the complex case) matrix and X and B are N-\/by-\/\-N\-R\-H\-S matrices. The Cholesky decomposition is used to factor A as

\[ A = \{_{L\times L^H, if uplo = PlasmaLower}^{U^H\times U, if uplo = PlasmaUpper} \]

where U is an upper triangular matrix and L is a lower triangular matrix. The factored form of A is then used to solve the system of equations A $\ast$ X = B.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & Specifies whether the matrix A is upper triangular or lower triangular\-: = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The number of linear equations, i.\-e., the order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrix B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the symmetric positive definite (or Hermitian) matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If U\-P\-L\-O = 'L', the leading N-\/by-\/\-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if return value = 0, the factor U or L from the Cholesky factorization A = U$\ast$$\ast$\-H$\ast$\-U or A = L$\ast$\-L$\ast$$\ast$\-H.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the N-\/by-\/\-N\-R\-H\-S right hand side matrix B. On exit, if return value = 0, the N-\/by-\/\-N\-R\-H\-S solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if i, the leading minor of order i of A is not positive definite, so the factorization could not be completed, and the solution has not been computed.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga2e0a81f823845e7f8ead350cf7f0f2b5_ga2e0a81f823845e7f8ead350cf7f0f2b5}{P\-L\-A\-S\-M\-A\-\_\-cposv\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga0b1cdf8fba0361b24d4b7c6f089eb794_ga0b1cdf8fba0361b24d4b7c6f089eb794}{P\-L\-A\-S\-M\-A\-\_\-cposv\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gacb9e52ca26891e283878a10c6b7f24b7_gacb9e52ca26891e283878a10c6b7f24b7}{P\-L\-A\-S\-M\-A\-\_\-cposv} 

\hyperlink{group__double_ga83015e9476d13f0c9f056eac9b54804f_ga83015e9476d13f0c9f056eac9b54804f}{P\-L\-A\-S\-M\-A\-\_\-dposv} 

\hyperlink{group__float_ga113c09b4a9f41fc4c19358a52477d685_ga113c09b4a9f41fc4c19358a52477d685}{P\-L\-A\-S\-M\-A\-\_\-sposv} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga9a02052646386252f5b41c09c8d18684_ga9a02052646386252f5b41c09c8d18684}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cpotrf@{P\-L\-A\-S\-M\-A\-\_\-cpotrf}}
\index{P\-L\-A\-S\-M\-A\-\_\-cpotrf@{P\-L\-A\-S\-M\-A\-\_\-cpotrf}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cpotrf}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cpotrf (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga9a02052646386252f5b41c09c8d18684_ga9a02052646386252f5b41c09c8d18684}
P\-L\-A\-S\-M\-A\-\_\-cpotrf -\/ Computes the Cholesky factorization of a symmetric positive definite (or Hermitian positive definite in the complex case) matrix A. The factorization has the form

\[ A = \{_{L\times L^H, if uplo = PlasmaLower}^{U^H\times U, if uplo = PlasmaUpper} \]

where U is an upper triangular matrix and L is a lower triangular matrix.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the symmetric positive definite (or Hermitian) matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If U\-P\-L\-O = 'L', the leading N-\/by-\/\-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if return value = 0, the factor U or L from the Cholesky factorization A = U$\ast$$\ast$\-H$\ast$\-U or A = L$\ast$\-L$\ast$$\ast$\-H.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if i, the leading minor of order i of A is not positive definite, so the factorization could not be completed, and the solution has not been computed.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaf651e550fd26664158610c8b8c8e5d00_gaf651e550fd26664158610c8b8c8e5d00}{P\-L\-A\-S\-M\-A\-\_\-cpotrf\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga6407e36c2859cdffedd0d6467331c458_ga6407e36c2859cdffedd0d6467331c458}{P\-L\-A\-S\-M\-A\-\_\-cpotrf\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga9a02052646386252f5b41c09c8d18684_ga9a02052646386252f5b41c09c8d18684}{P\-L\-A\-S\-M\-A\-\_\-cpotrf} 

\hyperlink{group__double_ga08c3851e861086761123a375b8472df2_ga08c3851e861086761123a375b8472df2}{P\-L\-A\-S\-M\-A\-\_\-dpotrf} 

\hyperlink{group__float_ga3ada27ebefe8e378bc6f9d25ab72d217_ga3ada27ebefe8e378bc6f9d25ab72d217}{P\-L\-A\-S\-M\-A\-\_\-spotrf} 

\hyperlink{group__PLASMA__Complex32__t_gaf429b7116507625912226d3c91bdfecc_gaf429b7116507625912226d3c91bdfecc}{P\-L\-A\-S\-M\-A\-\_\-cpotrs} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga2bbe242c5e06f243640fb6287b4a85ab_ga2bbe242c5e06f243640fb6287b4a85ab}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cpotri@{P\-L\-A\-S\-M\-A\-\_\-cpotri}}
\index{P\-L\-A\-S\-M\-A\-\_\-cpotri@{P\-L\-A\-S\-M\-A\-\_\-cpotri}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cpotri}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cpotri (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga2bbe242c5e06f243640fb6287b4a85ab_ga2bbe242c5e06f243640fb6287b4a85ab}
P\-L\-A\-S\-M\-A\-\_\-cpotri -\/ Computes the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U$\ast$$\ast$\-H$\ast$\-U or A = L$\ast$\-L$\ast$$\ast$\-H computed by P\-L\-A\-S\-M\-A\-\_\-cpotrf.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the triangular factor U or L from the Cholesky factorization A = U$\ast$$\ast$\-H$\ast$\-U or A = L$\ast$\-L$\ast$$\ast$\-H, as computed by P\-L\-A\-S\-M\-A\-\_\-cpotrf. On exit, the upper or lower triangle of the (Hermitian) inverse of A, overwriting the input factor U or L.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaceabc04acf5032a6a9e0415cab2e5abe_gaceabc04acf5032a6a9e0415cab2e5abe}{P\-L\-A\-S\-M\-A\-\_\-cpotri\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga78a2e21a8713c96ac267c4eeaa8005e1_ga78a2e21a8713c96ac267c4eeaa8005e1}{P\-L\-A\-S\-M\-A\-\_\-cpotri\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga2bbe242c5e06f243640fb6287b4a85ab_ga2bbe242c5e06f243640fb6287b4a85ab}{P\-L\-A\-S\-M\-A\-\_\-cpotri} 

\hyperlink{group__double_ga01b70786730b5e4c314b4584fe3697c5_ga01b70786730b5e4c314b4584fe3697c5}{P\-L\-A\-S\-M\-A\-\_\-dpotri} 

\hyperlink{group__float_gaf35cf8d73bf326a683f4be4943ef9b38_gaf35cf8d73bf326a683f4be4943ef9b38}{P\-L\-A\-S\-M\-A\-\_\-spotri} 

\hyperlink{group__PLASMA__Complex32__t_ga9a02052646386252f5b41c09c8d18684_ga9a02052646386252f5b41c09c8d18684}{P\-L\-A\-S\-M\-A\-\_\-cpotrf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gaf429b7116507625912226d3c91bdfecc_gaf429b7116507625912226d3c91bdfecc}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cpotrs@{P\-L\-A\-S\-M\-A\-\_\-cpotrs}}
\index{P\-L\-A\-S\-M\-A\-\_\-cpotrs@{P\-L\-A\-S\-M\-A\-\_\-cpotrs}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cpotrs}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cpotrs (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gaf429b7116507625912226d3c91bdfecc_gaf429b7116507625912226d3c91bdfecc}
P\-L\-A\-S\-M\-A\-\_\-cpotrs -\/ Solves a system of linear equations A $\ast$ X = B with a symmetric positive definite (or Hermitian positive definite in the complex case) matrix A using the Cholesky factorization A = U$\ast$$\ast$\-H$\ast$\-U or A = L$\ast$\-L$\ast$$\ast$\-H computed by P\-L\-A\-S\-M\-A\-\_\-cpotrf.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrix B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & The triangular factor U or L from the Cholesky factorization A = U$\ast$$\ast$\-H$\ast$\-U or A = L$\ast$\-L$\ast$$\ast$\-H, computed by P\-L\-A\-S\-M\-A\-\_\-cpotrf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the N-\/by-\/\-N\-R\-H\-S right hand side matrix B. On exit, if return value = 0, the N-\/by-\/\-N\-R\-H\-S solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga8230c4eb5d95075765fa93102095249b_ga8230c4eb5d95075765fa93102095249b}{P\-L\-A\-S\-M\-A\-\_\-cpotrs\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga8aa2a4ca0bb58c03867ff4786c53ba01_ga8aa2a4ca0bb58c03867ff4786c53ba01}{P\-L\-A\-S\-M\-A\-\_\-cpotrs\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gaf429b7116507625912226d3c91bdfecc_gaf429b7116507625912226d3c91bdfecc}{P\-L\-A\-S\-M\-A\-\_\-cpotrs} 

\hyperlink{group__double_ga2d3c0509f11f1e9a9cf06b95109e62f5_ga2d3c0509f11f1e9a9cf06b95109e62f5}{P\-L\-A\-S\-M\-A\-\_\-dpotrs} 

\hyperlink{group__float_gab813bd6d81c21feae7ce6553c9ba255a_gab813bd6d81c21feae7ce6553c9ba255a}{P\-L\-A\-S\-M\-A\-\_\-spotrs} 

\hyperlink{group__PLASMA__Complex32__t_ga9a02052646386252f5b41c09c8d18684_ga9a02052646386252f5b41c09c8d18684}{P\-L\-A\-S\-M\-A\-\_\-cpotrf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gac62cd0bd5b290a074c3af371972266a4_gac62cd0bd5b290a074c3af371972266a4}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-csymm@{P\-L\-A\-S\-M\-A\-\_\-csymm}}
\index{P\-L\-A\-S\-M\-A\-\_\-csymm@{P\-L\-A\-S\-M\-A\-\_\-csymm}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-csymm}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-csymm (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{side, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{int}]{M, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{beta, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{C, }
\item[{int}]{L\-D\-C}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gac62cd0bd5b290a074c3af371972266a4_gac62cd0bd5b290a074c3af371972266a4}
P\-L\-A\-S\-M\-A\-\_\-csymm -\/ Performs one of the matrix-\/matrix operations

\[ C = \alpha \times A \times B + \beta \times C \]

or

\[ C = \alpha \times B \times A + \beta \times C \]

where alpha and beta are scalars, A is an symmetric matrix and B and C are m by n matrices.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em side} & Specifies whether the symmetric matrix A appears on the left or right in the operation as follows\-: = Plasma\-Left\-: \[ C = \alpha \times A \times B + \beta \times C \] = Plasma\-Right\-: \[ C = \alpha \times B \times A + \beta \times C \]\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced as follows\-: = Plasma\-Lower\-: Only the lower triangular part of the symmetric matrix A is to be referenced. = Plasma\-Upper\-: Only the upper triangular part of the symmetric matrix A is to be referenced.\\
\hline
\mbox{\tt in}  & {\em M} & Specifies the number of rows of the matrix C. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & Specifies the number of columns of the matrix C. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em alpha} & Specifies the scalar alpha.\\
\hline
\mbox{\tt in}  & {\em A} & A is a L\-D\-A-\/by-\/ka matrix, where ka is M when side = Plasma\-Left, and is N otherwise. Only the uplo triangular part is referenced.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,ka).\\
\hline
\mbox{\tt in}  & {\em B} & B is a L\-D\-B-\/by-\/\-N matrix, where the leading M-\/by-\/\-N part of the array B must contain the matrix B.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-M).\\
\hline
\mbox{\tt in}  & {\em beta} & Specifies the scalar beta.\\
\hline
\mbox{\tt in,out}  & {\em C} & C is a L\-D\-C-\/by-\/\-N matrix. On exit, the array is overwritten by the M by N updated matrix.\\
\hline
\mbox{\tt in}  & {\em L\-D\-C} & The leading dimension of the array C. L\-D\-C $>$= max(1,\-M).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga7083c080fb00e4b77c7162c6e1f34ae0_ga7083c080fb00e4b77c7162c6e1f34ae0}{P\-L\-A\-S\-M\-A\-\_\-csymm\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t_gac62cd0bd5b290a074c3af371972266a4_gac62cd0bd5b290a074c3af371972266a4}{P\-L\-A\-S\-M\-A\-\_\-csymm} 

\hyperlink{group__double_ga1ab6ee29131efe4804f5ff940eeb699a_ga1ab6ee29131efe4804f5ff940eeb699a}{P\-L\-A\-S\-M\-A\-\_\-dsymm} 

\hyperlink{group__float_gaaffcd386f207f3e3a3073a803e27e3f1_gaaffcd386f207f3e3a3073a803e27e3f1}{P\-L\-A\-S\-M\-A\-\_\-ssymm} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga5a48c1ff1b73920651249deb75b9d0b7_ga5a48c1ff1b73920651249deb75b9d0b7}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-csyr2k@{P\-L\-A\-S\-M\-A\-\_\-csyr2k}}
\index{P\-L\-A\-S\-M\-A\-\_\-csyr2k@{P\-L\-A\-S\-M\-A\-\_\-csyr2k}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-csyr2k}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-csyr2k (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans, }
\item[{int}]{N, }
\item[{int}]{K, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{beta, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{C, }
\item[{int}]{L\-D\-C}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga5a48c1ff1b73920651249deb75b9d0b7_ga5a48c1ff1b73920651249deb75b9d0b7}
P\-L\-A\-S\-M\-A\-\_\-csyr2k -\/ Performs one of the symmetric rank 2k operations

\[ C = \alpha [ op( A ) \times conjfg( op( B )' )] + \alpha [ op( B ) \times conjfg( op( A )' )] + \beta C \], or \[ C = \alpha [ conjfg( op( A )' ) \times op( B ) ] + \alpha [ conjfg( op( B )' ) \times op( A ) ] + \beta C \],

where op( X ) is one of

op( X ) = X or op( X ) = conjfg( X' )

where alpha and beta are real scalars, C is an n-\/by-\/n symmetric matrix and A and B are an n-\/by-\/k matrices the first case and k-\/by-\/n matrices in the second case.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of C is stored; = Plasma\-Lower\-: Lower triangle of C is stored.\\
\hline
\mbox{\tt in}  & {\em trans} & Specifies whether the matrix A is transposed or conjfugate transposed\-: = Plasma\-No\-Trans\-: \[ C = \alpha [ op( A ) \times conjfg( op( B )' )] + \alpha [ op( B ) \times conjfg( op( A )' )] + \beta C \] = Plasma\-Trans\-: \[ C = \alpha [ conjfg( op( A )' ) \times op( B ) ] + \alpha [ conjfg( op( B )' ) \times op( A ) ] + \beta C \]\\
\hline
\mbox{\tt in}  & {\em N} & N specifies the order of the matrix C. N must be at least zero.\\
\hline
\mbox{\tt in}  & {\em K} & K specifies the number of columns of the A and B matrices with trans = Plasma\-No\-Trans. K specifies the number of rows of the A and B matrices with trans = Plasma\-Trans.\\
\hline
\mbox{\tt in}  & {\em alpha} & alpha specifies the scalar alpha.\\
\hline
\mbox{\tt in}  & {\em A} & A is a L\-D\-A-\/by-\/ka matrix, where ka is K when trans = Plasma\-No\-Trans, and is N otherwise.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A must be at least max( 1, N ), otherwise L\-D\-A must be at least max( 1, K ).\\
\hline
\mbox{\tt in}  & {\em B} & B is a L\-D\-B-\/by-\/kb matrix, where kb is K when trans = Plasma\-No\-Trans, and is N otherwise.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B must be at least max( 1, N ), otherwise L\-D\-B must be at least max( 1, K ).\\
\hline
\mbox{\tt in}  & {\em beta} & beta specifies the scalar beta.\\
\hline
\mbox{\tt in,out}  & {\em C} & C is a L\-D\-C-\/by-\/\-N matrix. On exit, the array uplo part of the matrix is overwritten by the uplo part of the updated matrix.\\
\hline
\mbox{\tt in}  & {\em L\-D\-C} & The leading dimension of the array C. L\-D\-C $>$= max( 1, N ).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga25263f0d07a615ac7e6f4d899f5ab5ba_ga25263f0d07a615ac7e6f4d899f5ab5ba}{P\-L\-A\-S\-M\-A\-\_\-csyr2k\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t_ga5a48c1ff1b73920651249deb75b9d0b7_ga5a48c1ff1b73920651249deb75b9d0b7}{P\-L\-A\-S\-M\-A\-\_\-csyr2k} 

\hyperlink{group__double_gaf9fa0e62110092a132cd17d8f48561f0_gaf9fa0e62110092a132cd17d8f48561f0}{P\-L\-A\-S\-M\-A\-\_\-dsyr2k} 

\hyperlink{group__float_gafac964a38a7c62696c3b95d35108ad9b_gafac964a38a7c62696c3b95d35108ad9b}{P\-L\-A\-S\-M\-A\-\_\-ssyr2k} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gad7bae1673afbf5b73da18c20f376cb89_gad7bae1673afbf5b73da18c20f376cb89}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-csyrk@{P\-L\-A\-S\-M\-A\-\_\-csyrk}}
\index{P\-L\-A\-S\-M\-A\-\_\-csyrk@{P\-L\-A\-S\-M\-A\-\_\-csyrk}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-csyrk}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-csyrk (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans, }
\item[{int}]{N, }
\item[{int}]{K, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{beta, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{C, }
\item[{int}]{L\-D\-C}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gad7bae1673afbf5b73da18c20f376cb89_gad7bae1673afbf5b73da18c20f376cb89}
P\-L\-A\-S\-M\-A\-\_\-csyrk -\/ Performs one of the hermitian rank k operations

\[ C = \alpha [ op( A ) \times conjfg( op( A )' )] + \beta C \],

where op( X ) is one of

op( X ) = X or op( X ) = conjfg( X' )

where alpha and beta are real scalars, C is an n-\/by-\/n hermitian matrix and A is an n-\/by-\/k matrix in the first case and a k-\/by-\/n matrix in the second case.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of C is stored; = Plasma\-Lower\-: Lower triangle of C is stored.\\
\hline
\mbox{\tt in}  & {\em trans} & Specifies whether the matrix A is transposed or conjfugate transposed\-: = Plasma\-No\-Trans\-: A is not transposed; = Plasma\-Trans \-: A is transposed.\\
\hline
\mbox{\tt in}  & {\em N} & N specifies the order of the matrix C. N must be at least zero.\\
\hline
\mbox{\tt in}  & {\em K} & K specifies the number of columns of the matrix op( A ).\\
\hline
\mbox{\tt in}  & {\em alpha} & alpha specifies the scalar alpha.\\
\hline
\mbox{\tt in}  & {\em A} & A is a L\-D\-A-\/by-\/ka matrix, where ka is K when trans = Plasma\-No\-Trans, and is N otherwise.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A must be at least max( 1, N ) if trans == Plasma\-No\-Trans, otherwise L\-D\-A must be at least max( 1, K ).\\
\hline
\mbox{\tt in}  & {\em beta} & beta specifies the scalar beta\\
\hline
\mbox{\tt in,out}  & {\em C} & C is a L\-D\-C-\/by-\/\-N matrix. On exit, the array uplo part of the matrix is overwritten by the uplo part of the updated matrix.\\
\hline
\mbox{\tt in}  & {\em L\-D\-C} & The leading dimension of the array C. L\-D\-C $>$= max( 1, N ).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga3a2727cdd83016262849b0a4dca6c308_ga3a2727cdd83016262849b0a4dca6c308}{P\-L\-A\-S\-M\-A\-\_\-csyrk\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t_gad7bae1673afbf5b73da18c20f376cb89_gad7bae1673afbf5b73da18c20f376cb89}{P\-L\-A\-S\-M\-A\-\_\-csyrk} 

\hyperlink{group__double_gacfdac462cfb1b2d6696e353bec9fd079_gacfdac462cfb1b2d6696e353bec9fd079}{P\-L\-A\-S\-M\-A\-\_\-dsyrk} 

\hyperlink{group__float_gae83f0347570d23dc62dd8b298eb14ad6_gae83f0347570d23dc62dd8b298eb14ad6}{P\-L\-A\-S\-M\-A\-\_\-ssyrk} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga7dce142b920d792a0443efcc922c71fc_ga7dce142b920d792a0443efcc922c71fc}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-c\-Tile\-\_\-to\-\_\-\-Lapack@{P\-L\-A\-S\-M\-A\-\_\-c\-Tile\-\_\-to\-\_\-\-Lapack}}
\index{P\-L\-A\-S\-M\-A\-\_\-c\-Tile\-\_\-to\-\_\-\-Lapack@{P\-L\-A\-S\-M\-A\-\_\-c\-Tile\-\_\-to\-\_\-\-Lapack}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-c\-Tile\-\_\-to\-\_\-\-Lapack}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-c\-Tile\-\_\-to\-\_\-\-Lapack (
\begin{DoxyParamCaption}
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{Af77, }
\item[{int}]{L\-D\-A}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga7dce142b920d792a0443efcc922c71fc_ga7dce142b920d792a0443efcc922c71fc}
P\-L\-A\-S\-M\-A\-\_\-\-Tile\-\_\-to\-\_\-\-Lapack -\/ Conversion from tile layout to L\-A\-P\-A\-C\-K layout.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em A} & Descriptor of the P\-L\-A\-S\-M\-A matrix in tile layout.\\
\hline
\mbox{\tt in,out}  & {\em Af77} & L\-A\-P\-A\-C\-K matrix. If P\-L\-A\-S\-M\-A\-\_\-\-T\-R\-A\-N\-S\-L\-A\-T\-I\-O\-N\-\_\-\-M\-O\-D\-E is set to P\-L\-A\-S\-M\-A\-\_\-\-I\-N\-P\-L\-A\-C\-E, Af77 has to be A-\/$>$mat, else if P\-L\-A\-S\-M\-A\-\_\-\-T\-R\-A\-N\-S\-L\-A\-T\-I\-O\-N\-\_\-\-M\-O\-D\-E is set to P\-L\-A\-S\-M\-A\-\_\-\-O\-U\-T\-O\-F\-P\-L\-A\-C\-E, Af77 has to be allocated before.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the matrix Af77.\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga30cd248f00d076c4417a96a041a7e85e_ga30cd248f00d076c4417a96a041a7e85e}{P\-L\-A\-S\-M\-A\-\_\-c\-Tile\-\_\-to\-\_\-\-Lapack\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga44c99c1388a7830a6efbc4fc1ab328f3_ga44c99c1388a7830a6efbc4fc1ab328f3}{P\-L\-A\-S\-M\-A\-\_\-c\-Lapack\-\_\-to\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t_ga7dce142b920d792a0443efcc922c71fc_ga7dce142b920d792a0443efcc922c71fc}{P\-L\-A\-S\-M\-A\-\_\-c\-Tile\-\_\-to\-\_\-\-Lapack} 

\hyperlink{group__double_ga1a9152c4ac00de6cafe8a5a4ad6718df_ga1a9152c4ac00de6cafe8a5a4ad6718df}{P\-L\-A\-S\-M\-A\-\_\-d\-Tile\-\_\-to\-\_\-\-Lapack} 

\hyperlink{group__float_gacfc6859eb0da6e5c246a70178b5567be_gacfc6859eb0da6e5c246a70178b5567be}{P\-L\-A\-S\-M\-A\-\_\-s\-Tile\-\_\-to\-\_\-\-Lapack} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga17234cfdde42bd11866b3435a9a8295a_ga17234cfdde42bd11866b3435a9a8295a}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-ctrmm@{P\-L\-A\-S\-M\-A\-\_\-ctrmm}}
\index{P\-L\-A\-S\-M\-A\-\_\-ctrmm@{P\-L\-A\-S\-M\-A\-\_\-ctrmm}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-ctrmm}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-ctrmm (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{side, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{diag, }
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga17234cfdde42bd11866b3435a9a8295a_ga17234cfdde42bd11866b3435a9a8295a}
P\-L\-A\-S\-M\-A\-\_\-ctrmm -\/ Computes B = alpha$\ast$op( A )$\ast$\-B or B = alpha$\ast$\-B$\ast$op( A ).


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em side} & Specifies whether A appears on the left or on the right of X\-: = Plasma\-Left\-: A$\ast$\-X = B = Plasma\-Right\-: X$\ast$\-A = B\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the matrix A is upper triangular or lower triangular\-: = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em trans\-A} & Specifies whether the matrix A is transposed, not transposed or conjfugate transposed\-: = Plasma\-No\-Trans\-: A is transposed; = Plasma\-Trans\-: A is not transposed; = Plasma\-Conj\-Trans\-: A is conjfugate transposed.\\
\hline
\mbox{\tt in}  & {\em diag} & Specifies whether or not A is unit triangular\-: = Plasma\-Non\-Unit\-: A is non unit; = Plasma\-Unit\-: A us unit.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrix B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in}  & {\em alpha} & alpha specifies the scalar alpha.\\
\hline
\mbox{\tt in}  & {\em A} & The triangular matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = Plasma\-Unit, the diagonal elements of A are also not referenced and are assumed to be 1.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the N-\/by-\/\-N\-R\-H\-S right hand side matrix B. On exit, if return value = 0, the N-\/by-\/\-N\-R\-H\-S solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga3d787962354676356d0c9a3f26f079c5_ga3d787962354676356d0c9a3f26f079c5}{P\-L\-A\-S\-M\-A\-\_\-ctrmm\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gaeab324c1a4bfd86a85f83f134e8fe1eb_gaeab324c1a4bfd86a85f83f134e8fe1eb}{P\-L\-A\-S\-M\-A\-\_\-ctrmm\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga17234cfdde42bd11866b3435a9a8295a_ga17234cfdde42bd11866b3435a9a8295a}{P\-L\-A\-S\-M\-A\-\_\-ctrmm} 

\hyperlink{group__double_ga16876a8b4e9148ba2c8f4d37dca9eef4_ga16876a8b4e9148ba2c8f4d37dca9eef4}{P\-L\-A\-S\-M\-A\-\_\-dtrmm} 

\hyperlink{group__float_gabbc2cf7c018815bd2c1ce8a6623b2813_gabbc2cf7c018815bd2c1ce8a6623b2813}{P\-L\-A\-S\-M\-A\-\_\-strmm} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga59907687253f7978f60e1d56d6fe941c_ga59907687253f7978f60e1d56d6fe941c}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-ctrsm@{P\-L\-A\-S\-M\-A\-\_\-ctrsm}}
\index{P\-L\-A\-S\-M\-A\-\_\-ctrsm@{P\-L\-A\-S\-M\-A\-\_\-ctrsm}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-ctrsm}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-ctrsm (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{side, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{diag, }
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga59907687253f7978f60e1d56d6fe941c_ga59907687253f7978f60e1d56d6fe941c}
P\-L\-A\-S\-M\-A\-\_\-ctrsm -\/ Computes triangular solve A$\ast$\-X = B or X$\ast$\-A = B.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em side} & Specifies whether A appears on the left or on the right of X\-: = Plasma\-Left\-: A$\ast$\-X = B = Plasma\-Right\-: X$\ast$\-A = B\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the matrix A is upper triangular or lower triangular\-: = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em trans\-A} & Specifies whether the matrix A is transposed, not transposed or conjfugate transposed\-: = Plasma\-No\-Trans\-: A is transposed; = Plasma\-Trans\-: A is not transposed; = Plasma\-Conj\-Trans\-: A is conjfugate transposed.\\
\hline
\mbox{\tt in}  & {\em diag} & Specifies whether or not A is unit triangular\-: = Plasma\-Non\-Unit\-: A is non unit; = Plasma\-Unit\-: A us unit.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrix B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in}  & {\em alpha} & alpha specifies the scalar alpha.\\
\hline
\mbox{\tt in}  & {\em A} & The triangular matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = Plasma\-Unit, the diagonal elements of A are also not referenced and are assumed to be 1.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the N-\/by-\/\-N\-R\-H\-S right hand side matrix B. On exit, if return value = 0, the N-\/by-\/\-N\-R\-H\-S solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga61b232c28dfe5a2b828d66aa3b70615f_ga61b232c28dfe5a2b828d66aa3b70615f}{P\-L\-A\-S\-M\-A\-\_\-ctrsm\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga99bf0971a147fd78070b0cc2573474af_ga99bf0971a147fd78070b0cc2573474af}{P\-L\-A\-S\-M\-A\-\_\-ctrsm\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga59907687253f7978f60e1d56d6fe941c_ga59907687253f7978f60e1d56d6fe941c}{P\-L\-A\-S\-M\-A\-\_\-ctrsm} 

\hyperlink{group__double_ga7dab3739b47f3f77f68cb6166638f507_ga7dab3739b47f3f77f68cb6166638f507}{P\-L\-A\-S\-M\-A\-\_\-dtrsm} 

\hyperlink{group__float_ga572e80d04d4e9701bf3dd73d1f96d54c_ga572e80d04d4e9701bf3dd73d1f96d54c}{P\-L\-A\-S\-M\-A\-\_\-strsm} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga09e57f11d290244163f0dd6ede7952d5_ga09e57f11d290244163f0dd6ede7952d5}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-ctrsmpl@{P\-L\-A\-S\-M\-A\-\_\-ctrsmpl}}
\index{P\-L\-A\-S\-M\-A\-\_\-ctrsmpl@{P\-L\-A\-S\-M\-A\-\_\-ctrsmpl}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-ctrsmpl}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-ctrsmpl (
\begin{DoxyParamCaption}
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-L, }
\item[{int $\ast$}]{I\-P\-I\-V, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga09e57f11d290244163f0dd6ede7952d5_ga09e57f11d290244163f0dd6ede7952d5}
P\-L\-A\-S\-M\-A\-\_\-ctrsmpl -\/ Performs the forward substitution step of solving a system of linear equations after the tile L\-U factorization of the matrix.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrix B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & The tile factor L from the factorization, computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in}  & {\em desc\-L} & Auxiliary factorization data, related to the tile L factor, computed by P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv.\\
\hline
\mbox{\tt in}  & {\em I\-P\-I\-V} & The pivot indices from P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv (not equivalent to L\-A\-P\-A\-C\-K).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the N-\/by-\/\-N\-R\-H\-S right hand side matrix B. On exit, if return value = 0, the N-\/by-\/\-N\-R\-H\-S solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gad16caa93a3f8931437a0a40c368c771c_gad16caa93a3f8931437a0a40c368c771c}{P\-L\-A\-S\-M\-A\-\_\-ctrsmpl\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gabb4ef7547f993bad30f7aaa84afcf35f_gabb4ef7547f993bad30f7aaa84afcf35f}{P\-L\-A\-S\-M\-A\-\_\-ctrsmpl\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga09e57f11d290244163f0dd6ede7952d5_ga09e57f11d290244163f0dd6ede7952d5}{P\-L\-A\-S\-M\-A\-\_\-ctrsmpl} 

\hyperlink{group__double_ga524dd7f9010a6a4c113d35e58316fd4e_ga524dd7f9010a6a4c113d35e58316fd4e}{P\-L\-A\-S\-M\-A\-\_\-dtrsmpl} 

\hyperlink{group__float_ga6474e57f7e75df01781a9b2ff4d2fc18_ga6474e57f7e75df01781a9b2ff4d2fc18}{P\-L\-A\-S\-M\-A\-\_\-strsmpl} 

\hyperlink{group__PLASMA__Complex32__t_gaaeca906ffb473a1bc1772671fb4f558f_gaaeca906ffb473a1bc1772671fb4f558f}{P\-L\-A\-S\-M\-A\-\_\-cgetrf\-\_\-incpiv} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga4932d66d31f7970a6cab8381d373eb12_ga4932d66d31f7970a6cab8381d373eb12}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-ctrsmrv@{P\-L\-A\-S\-M\-A\-\_\-ctrsmrv}}
\index{P\-L\-A\-S\-M\-A\-\_\-ctrsmrv@{P\-L\-A\-S\-M\-A\-\_\-ctrsmrv}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-ctrsmrv}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-ctrsmrv (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{side, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{diag, }
\item[{int}]{N, }
\item[{int}]{N\-R\-H\-S, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t}]{alpha, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{B, }
\item[{int}]{L\-D\-B}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga4932d66d31f7970a6cab8381d373eb12_ga4932d66d31f7970a6cab8381d373eb12}
P\-L\-A\-S\-M\-A\-\_\-ctrsmrv -\/ Computes triangular solve A$\ast$\-X = B or X$\ast$\-A = B.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em side} & Specifies whether A appears on the left or on the right of X\-: = Plasma\-Left\-: A$\ast$\-X = B = Plasma\-Right\-: X$\ast$\-A = B\\
\hline
\mbox{\tt in}  & {\em uplo} & Specifies whether the matrix A is upper triangular or lower triangular\-: = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em trans\-A} & Specifies whether the matrix A is transposed, not transposed or conjfugate transposed\-: = Plasma\-No\-Trans\-: A is transposed; = Plasma\-Trans\-: A is not transposed; = Plasma\-Conj\-Trans\-: A is conjfugate transposed.\\
\hline
\mbox{\tt in}  & {\em diag} & Specifies whether or not A is unit triangular\-: = Plasma\-Non\-Unit\-: A is non unit; = Plasma\-Unit\-: A us unit.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N\-R\-H\-S} & The number of right hand sides, i.\-e., the number of columns of the matrix B. N\-R\-H\-S $>$= 0.\\
\hline
\mbox{\tt in}  & {\em alpha} & alpha specifies the scalar alpha.\\
\hline
\mbox{\tt in}  & {\em A} & The triangular matrix A. If uplo = Plasma\-Upper, the leading N-\/by-\/\-N upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If uplo = Plasma\-Lower, the leading N-\/by-\/\-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If diag = Plasma\-Unit, the diagonal elements of A are also not referenced and are assumed to be 1.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in,out}  & {\em B} & On entry, the N-\/by-\/\-N\-R\-H\-S right hand side matrix B. On exit, if return value = 0, the N-\/by-\/\-N\-R\-H\-S solution matrix X.\\
\hline
\mbox{\tt in}  & {\em L\-D\-B} & The leading dimension of the array B. L\-D\-B $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gae8a1dbf689834d2f0c4142009b371044_gae8a1dbf689834d2f0c4142009b371044}{P\-L\-A\-S\-M\-A\-\_\-ctrsmrv\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga7484ac3a69bdea60ff4309849cb084c3_ga7484ac3a69bdea60ff4309849cb084c3}{P\-L\-A\-S\-M\-A\-\_\-ctrsmrv\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga4932d66d31f7970a6cab8381d373eb12_ga4932d66d31f7970a6cab8381d373eb12}{P\-L\-A\-S\-M\-A\-\_\-ctrsmrv} 

\hyperlink{group__double_ga01879443f745172ea8165d4882136d36_ga01879443f745172ea8165d4882136d36}{P\-L\-A\-S\-M\-A\-\_\-dtrsmrv} 

\hyperlink{group__float_ga7713151eac0c0ff54c5a6aac1957b5e0_ga7713151eac0c0ff54c5a6aac1957b5e0}{P\-L\-A\-S\-M\-A\-\_\-strsmrv} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga25e718997c7c1fd6f599d7b3a04fddad_ga25e718997c7c1fd6f599d7b3a04fddad}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-ctrtri@{P\-L\-A\-S\-M\-A\-\_\-ctrtri}}
\index{P\-L\-A\-S\-M\-A\-\_\-ctrtri@{P\-L\-A\-S\-M\-A\-\_\-ctrtri}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-ctrtri}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-ctrtri (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{uplo, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{diag, }
\item[{int}]{N, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga25e718997c7c1fd6f599d7b3a04fddad_ga25e718997c7c1fd6f599d7b3a04fddad}
P\-L\-A\-S\-M\-A\-\_\-ctrtri -\/ Computes the inverse of a complex upper or lower triangular matrix A.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em uplo} & = Plasma\-Upper\-: Upper triangle of A is stored; = Plasma\-Lower\-: Lower triangle of A is stored.\\
\hline
\mbox{\tt in}  & {\em diag} & = Plasma\-Non\-Unit\-: A is non-\/unit triangular; = Plasma\-Unit\-: A is unit triangular.\\
\hline
\mbox{\tt in}  & {\em N} & The order of the matrix A. N $>$= 0.\\
\hline
\mbox{\tt in,out}  & {\em A} & On entry, the triangular matrix A. If U\-P\-L\-O = 'U', the leading N-\/by-\/\-N upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If U\-P\-L\-O = 'L', the leading N-\/by-\/\-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If D\-I\-A\-G = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-N).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value \\
\hline
{\em $>$0} & if i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse can not be computed.\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga784a176b5d30f36e8964ff4c20e86674_ga784a176b5d30f36e8964ff4c20e86674}{P\-L\-A\-S\-M\-A\-\_\-ctrtri\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga103aeadf56f58e32ed06f5287d1132c1_ga103aeadf56f58e32ed06f5287d1132c1}{P\-L\-A\-S\-M\-A\-\_\-ctrtri\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga25e718997c7c1fd6f599d7b3a04fddad_ga25e718997c7c1fd6f599d7b3a04fddad}{P\-L\-A\-S\-M\-A\-\_\-ctrtri} 

\hyperlink{group__double_ga3968f78f69610b681ab7d6c411f92796_ga3968f78f69610b681ab7d6c411f92796}{P\-L\-A\-S\-M\-A\-\_\-dtrtri} 

\hyperlink{group__float_gaaf0df7b8ff03a270a25da71b9f133abb_gaaf0df7b8ff03a270a25da71b9f133abb}{P\-L\-A\-S\-M\-A\-\_\-strtri} 

\hyperlink{group__PLASMA__Complex32__t_ga2bbe242c5e06f243640fb6287b4a85ab_ga2bbe242c5e06f243640fb6287b4a85ab}{P\-L\-A\-S\-M\-A\-\_\-cpotri} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gad8f450a6bb48fac4dc912211fef0e912_gad8f450a6bb48fac4dc912211fef0e912}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cunglq@{P\-L\-A\-S\-M\-A\-\_\-cunglq}}
\index{P\-L\-A\-S\-M\-A\-\_\-cunglq@{P\-L\-A\-S\-M\-A\-\_\-cunglq}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cunglq}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cunglq (
\begin{DoxyParamCaption}
\item[{int}]{M, }
\item[{int}]{N, }
\item[{int}]{K, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{Q, }
\item[{int}]{L\-D\-Q}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gad8f450a6bb48fac4dc912211fef0e912_gad8f450a6bb48fac4dc912211fef0e912}
P\-L\-A\-S\-M\-A\-\_\-cunglq -\/ Generates an M-\/by-\/\-N matrix Q with orthonormal rows, which is defined as the first M rows of a product of the elementary reflectors returned by P\-L\-A\-S\-M\-A\-\_\-cgelqf.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em M} & The number of rows of the matrix Q. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix Q. N $>$= M.\\
\hline
\mbox{\tt in}  & {\em K} & The number of rows of elementary tile reflectors whose product defines the matrix Q. M $>$= K $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & Details of the L\-Q factorization of the original matrix A as returned by P\-L\-A\-S\-M\-A\-\_\-cgelqf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt in}  & {\em desc\-T} & Auxiliary factorization data, computed by P\-L\-A\-S\-M\-A\-\_\-cgelqf.\\
\hline
\mbox{\tt out}  & {\em Q} & On exit, the M-\/by-\/\-N matrix Q.\\
\hline
\mbox{\tt in}  & {\em L\-D\-Q} & The leading dimension of the array Q. L\-D\-Q $>$= max(1,\-M).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & $<$0 if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gad7b58caa461bed1b89328206a380cb67_gad7b58caa461bed1b89328206a380cb67}{P\-L\-A\-S\-M\-A\-\_\-cunglq\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga436e840f5545766248ef7837cfc76334_ga436e840f5545766248ef7837cfc76334}{P\-L\-A\-S\-M\-A\-\_\-cunglq\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gad8f450a6bb48fac4dc912211fef0e912_gad8f450a6bb48fac4dc912211fef0e912}{P\-L\-A\-S\-M\-A\-\_\-cunglq} 

\hyperlink{group__double_gae71a8dbbe843b68aca052074db93409d_gae71a8dbbe843b68aca052074db93409d}{P\-L\-A\-S\-M\-A\-\_\-dorglq} 

\hyperlink{group__float_ga2f8b6c06f4346761e024c9fa00427a61_ga2f8b6c06f4346761e024c9fa00427a61}{P\-L\-A\-S\-M\-A\-\_\-sorglq} 

\hyperlink{group__PLASMA__Complex32__t_gadab1e78967134c5e784bb80d03760b25_gadab1e78967134c5e784bb80d03760b25}{P\-L\-A\-S\-M\-A\-\_\-cgelqf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_ga6c696165c8c276260ba80eff16e4d291_ga6c696165c8c276260ba80eff16e4d291}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cungqr@{P\-L\-A\-S\-M\-A\-\_\-cungqr}}
\index{P\-L\-A\-S\-M\-A\-\_\-cungqr@{P\-L\-A\-S\-M\-A\-\_\-cungqr}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cungqr}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cungqr (
\begin{DoxyParamCaption}
\item[{int}]{M, }
\item[{int}]{N, }
\item[{int}]{K, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{Q, }
\item[{int}]{L\-D\-Q}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_ga6c696165c8c276260ba80eff16e4d291_ga6c696165c8c276260ba80eff16e4d291}
P\-L\-A\-S\-M\-A\-\_\-cungqr -\/ Generates an M-\/by-\/\-N matrix Q with orthonormal columns, which is defined as the first N columns of a product of the elementary reflectors returned by P\-L\-A\-S\-M\-A\-\_\-cgeqrf.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em M} & The number of rows of the matrix Q. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix Q. N $>$= M.\\
\hline
\mbox{\tt in}  & {\em K} & The number of columns of elementary tile reflectors whose product defines the matrix Q. M $>$= K $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & Details of the Q\-R factorization of the original matrix A as returned by P\-L\-A\-S\-M\-A\-\_\-cgeqrf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-M).\\
\hline
\mbox{\tt in}  & {\em desc\-T} & Auxiliary factorization data, computed by P\-L\-A\-S\-M\-A\-\_\-cgeqrf.\\
\hline
\mbox{\tt out}  & {\em Q} & On exit, the M-\/by-\/\-N matrix Q.\\
\hline
\mbox{\tt in}  & {\em L\-D\-Q} & The leading dimension of the array Q. L\-D\-Q $>$= max(1,\-M).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_gaff9c9a15543dae6f4890ef59eb670ea3_gaff9c9a15543dae6f4890ef59eb670ea3}{P\-L\-A\-S\-M\-A\-\_\-cungqr\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_ga06680c853d0c7fc9b697be4db7d28474_ga06680c853d0c7fc9b697be4db7d28474}{P\-L\-A\-S\-M\-A\-\_\-cungqr\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_ga6c696165c8c276260ba80eff16e4d291_ga6c696165c8c276260ba80eff16e4d291}{P\-L\-A\-S\-M\-A\-\_\-cungqr} 

\hyperlink{group__double_ga5137c6e07ebf2faddae220daa28999ba_ga5137c6e07ebf2faddae220daa28999ba}{P\-L\-A\-S\-M\-A\-\_\-dorgqr} 

\hyperlink{group__float_ga4b6a6aa9e5da7961424f3afb62a69562_ga4b6a6aa9e5da7961424f3afb62a69562}{P\-L\-A\-S\-M\-A\-\_\-sorgqr} 

\hyperlink{group__PLASMA__Complex32__t_gae8490d9c587725716adbb347d85537b2_gae8490d9c587725716adbb347d85537b2}{P\-L\-A\-S\-M\-A\-\_\-cgeqrf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gac9aca2d8444a6e5630fe4674505a2afd_gac9aca2d8444a6e5630fe4674505a2afd}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cunmlq@{P\-L\-A\-S\-M\-A\-\_\-cunmlq}}
\index{P\-L\-A\-S\-M\-A\-\_\-cunmlq@{P\-L\-A\-S\-M\-A\-\_\-cunmlq}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cunmlq}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cunmlq (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{side, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans, }
\item[{int}]{M, }
\item[{int}]{N, }
\item[{int}]{K, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{C, }
\item[{int}]{L\-D\-C}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gac9aca2d8444a6e5630fe4674505a2afd_gac9aca2d8444a6e5630fe4674505a2afd}
P\-L\-A\-S\-M\-A\-\_\-cunmlq -\/ Overwrites the general complex M-\/by-\/\-N matrix C with \begin{DoxyVerb}            SIDE = 'L'     SIDE = 'R'
\end{DoxyVerb}
 T\-R\-A\-N\-S = 'N'\-: Q $\ast$ C C $\ast$ Q T\-R\-A\-N\-S = 'C'\-: Q$\ast$$\ast$\-H $\ast$ C C $\ast$ Q$\ast$$\ast$\-H

where Q is a complex unitary matrix defined as the product of k elementary reflectors \begin{DoxyVerb}  Q = H(1) H(2) . . . H(k)
\end{DoxyVerb}


as returned by P\-L\-A\-S\-M\-A\-\_\-cgeqrf. Q is of order M if S\-I\-D\-E = Plasma\-Left and of order N if S\-I\-D\-E = Plasma\-Right.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em side} & Intended usage\-: = Plasma\-Left\-: apply Q or Q$\ast$$\ast$\-H from the left; = Plasma\-Right\-: apply Q or Q$\ast$$\ast$\-H from the right.\\
\hline
\mbox{\tt in}  & {\em trans} & Intended usage\-: = Plasma\-No\-Trans\-: no transpose, apply Q; = Plasma\-Conj\-Trans\-: conjfugate transpose, apply Q$\ast$$\ast$\-H.\\
\hline
\mbox{\tt in}  & {\em M} & The number of rows of the matrix C. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix C. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em K} & The number of rows of elementary tile reflectors whose product defines the matrix Q. If side == Plasma\-Left, M $>$= K $>$= 0. If side == Plasma\-Right, N $>$= K $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & Details of the L\-Q factorization of the original matrix A as returned by P\-L\-A\-S\-M\-A\-\_\-cgelqf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. L\-D\-A $>$= max(1,\-K).\\
\hline
\mbox{\tt in}  & {\em desc\-T} & Auxiliary factorization data, computed by P\-L\-A\-S\-M\-A\-\_\-cgelqf.\\
\hline
\mbox{\tt in,out}  & {\em C} & On entry, the M-\/by-\/\-N matrix C. On exit, C is overwritten by Q$\ast$\-C or Q$\ast$$\ast$\-H$\ast$\-C.\\
\hline
\mbox{\tt in}  & {\em L\-D\-C} & The leading dimension of the array C. L\-D\-C $>$= max(1,\-M).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga7dc256d207a8f2d2aa69b2b640d931fd_ga7dc256d207a8f2d2aa69b2b640d931fd}{P\-L\-A\-S\-M\-A\-\_\-cunmlq\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gadba639660ec87b31c2340da05fcc4f5d_gadba639660ec87b31c2340da05fcc4f5d}{P\-L\-A\-S\-M\-A\-\_\-cunmlq\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gac9aca2d8444a6e5630fe4674505a2afd_gac9aca2d8444a6e5630fe4674505a2afd}{P\-L\-A\-S\-M\-A\-\_\-cunmlq} 

\hyperlink{group__double_ga7c70d5b53e69f9ab564126c78938002a_ga7c70d5b53e69f9ab564126c78938002a}{P\-L\-A\-S\-M\-A\-\_\-dormlq} 

\hyperlink{group__float_ga4f42eb41e34bdf290b36fe5ce8e576b7_ga4f42eb41e34bdf290b36fe5ce8e576b7}{P\-L\-A\-S\-M\-A\-\_\-sormlq} 

\hyperlink{group__PLASMA__Complex32__t_gadab1e78967134c5e784bb80d03760b25_gadab1e78967134c5e784bb80d03760b25}{P\-L\-A\-S\-M\-A\-\_\-cgelqf} 
\end{DoxySeeAlso}
\hypertarget{group__PLASMA__Complex32__t_gac4f6c16a5e7d9bc92ec6addcaa42bad1_gac4f6c16a5e7d9bc92ec6addcaa42bad1}{\index{Simple Interface -\/ Single Complex@{Simple Interface -\/ Single Complex}!P\-L\-A\-S\-M\-A\-\_\-cunmqr@{P\-L\-A\-S\-M\-A\-\_\-cunmqr}}
\index{P\-L\-A\-S\-M\-A\-\_\-cunmqr@{P\-L\-A\-S\-M\-A\-\_\-cunmqr}!Simple Interface - Single Complex@{Simple Interface -\/ Single Complex}}
\subsubsection[{P\-L\-A\-S\-M\-A\-\_\-cunmqr}]{\setlength{\rightskip}{0pt plus 5cm}int P\-L\-A\-S\-M\-A\-\_\-cunmqr (
\begin{DoxyParamCaption}
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{side, }
\item[{P\-L\-A\-S\-M\-A\-\_\-enum}]{trans, }
\item[{int}]{M, }
\item[{int}]{N, }
\item[{int}]{K, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{A, }
\item[{int}]{L\-D\-A, }
\item[{{\bf P\-L\-A\-S\-M\-A\-\_\-desc} $\ast$}]{desc\-T, }
\item[{P\-L\-A\-S\-M\-A\-\_\-\-Complex32\-\_\-t $\ast$}]{C, }
\item[{int}]{L\-D\-C}
\end{DoxyParamCaption}
)}}\label{group__PLASMA__Complex32__t_gac4f6c16a5e7d9bc92ec6addcaa42bad1_gac4f6c16a5e7d9bc92ec6addcaa42bad1}
P\-L\-A\-S\-M\-A\-\_\-cunmqr -\/ Overwrites the general complex M-\/by-\/\-N matrix C with \begin{DoxyVerb}            SIDE = 'L'     SIDE = 'R'
\end{DoxyVerb}
 T\-R\-A\-N\-S = 'N'\-: Q $\ast$ C C $\ast$ Q T\-R\-A\-N\-S = 'C'\-: Q$\ast$$\ast$\-H $\ast$ C C $\ast$ Q$\ast$$\ast$\-H

where Q is a complex unitary matrix defined as the product of k elementary reflectors \begin{DoxyVerb}  Q = H(1) H(2) . . . H(k)
\end{DoxyVerb}


as returned by P\-L\-A\-S\-M\-A\-\_\-cgeqrf. Q is of order M if S\-I\-D\-E = Plasma\-Left and of order N if S\-I\-D\-E = Plasma\-Right.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em side} & Intended usage\-: = Plasma\-Left\-: apply Q or Q$\ast$$\ast$\-H from the left; = Plasma\-Right\-: apply Q or Q$\ast$$\ast$\-H from the right.\\
\hline
\mbox{\tt in}  & {\em trans} & Intended usage\-: = Plasma\-No\-Trans\-: no transpose, apply Q; = Plasma\-Conj\-Trans\-: conjfugate transpose, apply Q$\ast$$\ast$\-H.\\
\hline
\mbox{\tt in}  & {\em M} & The number of rows of the matrix C. M $>$= 0.\\
\hline
\mbox{\tt in}  & {\em N} & The number of columns of the matrix C. N $>$= 0.\\
\hline
\mbox{\tt in}  & {\em K} & The number of elementary reflectors whose product defines the matrix Q. If side == Plasma\-Left, M $>$= K $>$= 0. If side == Plasma\-Right, N $>$= K $>$= 0.\\
\hline
\mbox{\tt in}  & {\em A} & Details of the Q\-R factorization of the original matrix A as returned by P\-L\-A\-S\-M\-A\-\_\-cgeqrf.\\
\hline
\mbox{\tt in}  & {\em L\-D\-A} & The leading dimension of the array A. If side == Plasma\-Left, L\-D\-A $>$= max(1,\-M). If side == Plasma\-Right, L\-D\-A $>$= max(1,\-N).\\
\hline
\mbox{\tt in}  & {\em desc\-T} & Auxiliary factorization data, computed by P\-L\-A\-S\-M\-A\-\_\-cgeqrf.\\
\hline
\mbox{\tt in,out}  & {\em C} & On entry, the M-\/by-\/\-N matrix C. On exit, C is overwritten by Q$\ast$\-C or Q$\ast$$\ast$\-H$\ast$\-C.\\
\hline
\mbox{\tt in}  & {\em L\-D\-C} & The leading dimension of the array C. L\-D\-C $>$= max(1,\-M).\\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}

\end{DoxyReturn}

\begin{DoxyRetVals}{Return values}
{\em P\-L\-A\-S\-M\-A\-\_\-\-S\-U\-C\-C\-E\-S\-S} & successful exit \\
\hline
{\em $<$0} & if -\/i, the i-\/th argument had an illegal value\\
\hline
\end{DoxyRetVals}
\begin{DoxySeeAlso}{See Also}
\hyperlink{group__PLASMA__Complex32__t__Tile_ga2ac6814a64f31e0b1659a8f94b621a1d_ga2ac6814a64f31e0b1659a8f94b621a1d}{P\-L\-A\-S\-M\-A\-\_\-cunmqr\-\_\-\-Tile} 

\hyperlink{group__PLASMA__Complex32__t__Tile__Async_gaff053a5b7bc9208a3a61a4117c454355_gaff053a5b7bc9208a3a61a4117c454355}{P\-L\-A\-S\-M\-A\-\_\-cunmqr\-\_\-\-Tile\-\_\-\-Async} 

\hyperlink{group__PLASMA__Complex32__t_gac4f6c16a5e7d9bc92ec6addcaa42bad1_gac4f6c16a5e7d9bc92ec6addcaa42bad1}{P\-L\-A\-S\-M\-A\-\_\-cunmqr} 

\hyperlink{group__double_ga9623493d89eb656c0f5aa44c7772294c_ga9623493d89eb656c0f5aa44c7772294c}{P\-L\-A\-S\-M\-A\-\_\-dormqr} 

\hyperlink{group__float_ga3d2c263d860db4a6d63fd13156262bd2_ga3d2c263d860db4a6d63fd13156262bd2}{P\-L\-A\-S\-M\-A\-\_\-sormqr} 

\hyperlink{group__PLASMA__Complex32__t_gae8490d9c587725716adbb347d85537b2_gae8490d9c587725716adbb347d85537b2}{P\-L\-A\-S\-M\-A\-\_\-cgeqrf} 
\end{DoxySeeAlso}
