PLASMA: PLASMA_dgebrd

PLASMA 2.4.6

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PLASMA_dgebrd
PLASMA_dgelqf
PLASMA_dgelqs
PLASMA_dgels
PLASMA_dgemm
PLASMA_dgeqrf
PLASMA_dgeqrs
PLASMA_dgesv
PLASMA_dgesv_incpiv
PLASMA_dgesvd
PLASMA_dgetrf
PLASMA_dgetrf_incpiv
PLASMA_dgetri
PLASMA_dgetrs
PLASMA_dgetrs_incpiv
PLASMA_dlacpy
PLASMA_dlange
PLASMA_dlansy
PLASMA_dLapack_to_Tile
PLASMA_dlaset
PLASMA_dlaswp
PLASMA_dlaswpc
PLASMA_dlauum
PLASMA_dorglq
PLASMA_dorgqr
PLASMA_dormlq
PLASMA_dormqr
PLASMA_dplgsy
PLASMA_dplrnt
PLASMA_dposv
PLASMA_dpotrf
PLASMA_dpotri
PLASMA_dpotrs
PLASMA_dsgesv
PLASMA_dsposv
PLASMA_dsungesv
PLASMA_dsyev
PLASMA_dsyevd
PLASMA_dsygst
PLASMA_dsygv
PLASMA_dsygvd
PLASMA_dsymm
PLASMA_dsyr2k
PLASMA_dsyrk
PLASMA_dsytrd
PLASMA_dTile_to_Lapack
PLASMA_dtrmm
PLASMA_dtrsm
PLASMA_dtrsmpl
PLASMA_dtrsmrv
PLASMA_dtrtri
int PLASMA_dgebrd | ( | int | M,
|  | int | N,
|  | double * | A,
|  | int | LDA,
|  | double * | D,
|  | double * | E,
|  | PLASMA_desc * | descT
| ) |  |
  PLASMA_dgebrd - 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**T * 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_dgesvd 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_dgebrd_Tile PLASMA_dgebrd_Tile_Async PLASMA_cgebrd PLASMA_dgebrd PLASMA_sgebrd