PLASMA: PLASMA_cgebrd

PLASMA 2.4.6

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PLASMA_cgebrd
PLASMA_cgelqf
PLASMA_cgelqs
PLASMA_cgels
PLASMA_cgemm
PLASMA_cgeqrf
PLASMA_cgeqrs
PLASMA_cgesv
PLASMA_cgesv_incpiv
PLASMA_cgesvd
PLASMA_cgetrf
PLASMA_cgetrf_incpiv
PLASMA_cgetri
PLASMA_cgetrs
PLASMA_cgetrs_incpiv
PLASMA_cheev
PLASMA_cheevd
PLASMA_chegst
PLASMA_chegv
PLASMA_chegvd
PLASMA_chemm
PLASMA_cher2k
PLASMA_cherk
PLASMA_chetrd
PLASMA_clacpy
PLASMA_clange
PLASMA_clanhe
PLASMA_clansy
PLASMA_cLapack_to_Tile
PLASMA_claset
PLASMA_claswp
PLASMA_claswpc
PLASMA_clauum
PLASMA_cplghe
PLASMA_cplgsy
PLASMA_cplrnt
PLASMA_cposv
PLASMA_cpotrf
PLASMA_cpotri
PLASMA_cpotrs
PLASMA_csymm
PLASMA_csyr2k
PLASMA_csyrk
PLASMA_cTile_to_Lapack
PLASMA_ctrmm
PLASMA_ctrsm
PLASMA_ctrsmpl
PLASMA_ctrsmrv
PLASMA_ctrtri
PLASMA_cunglq
PLASMA_cungqr
PLASMA_cunmlq
PLASMA_cunmqr
int PLASMA_cgebrd | ( | int | M,
|  | int | N,
|  | PLASMA_Complex32_t * | A,
|  | int | LDA,
|  | float * | D,
|  | float * | E,
|  | PLASMA_desc * | descT
| ) |  |
  PLASMA_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 * Q2 be the global left unitary transformation; Let P = P1 * P2 be the global right unitary transformation; Q**H * A * P = B. If M >= N, B is upper bidiagonal; if M < N, B is lower bidiagonal. Not LAPACK 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. Parameters
  [in] | M | The number of rows of the matrix A. M >= 0.
  [in] | N | The number of columns of the matrix A. N >= 0.
  [in,out] | 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.
  [in] | LDA | The leading dimension of the array A. LDA >= max(1,M).
  [out] | D | On exit, the diagonal elements of the bidiagonal matrix: D(i) = A(i,i). Dimension (min(M,N)).
  [out] | 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).
  [out] | descT | On entry, descriptor as return by PLASMA_Alloc_Workspace_cgesvd On exit, contains auxiliary factorization data.
  Returns Return values
  PLASMA_SUCCESS | successful exit
  <0 | if -i, the i-th argument had an illegal value
See Also PLASMA_cgebrd_Tile PLASMA_cgebrd_Tile_Async PLASMA_cgebrd PLASMA_dgebrd PLASMA_sgebrd