PLASMA: PLASMA_zgebrd

PLASMA 2.4.6

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PLASMA_zcgels
PLASMA_zcgesv
PLASMA_zcposv
PLASMA_zcungesv
PLASMA_zgebrd
PLASMA_zgelqf
PLASMA_zgelqs
PLASMA_zgels
PLASMA_zgemm
PLASMA_zgeqrf
PLASMA_zgeqrs
PLASMA_zgesv
PLASMA_zgesv_incpiv
PLASMA_zgesvd
PLASMA_zgetrf
PLASMA_zgetrf_incpiv
PLASMA_zgetri
PLASMA_zgetrs
PLASMA_zgetrs_incpiv
PLASMA_zheev
PLASMA_zheevd
PLASMA_zhegst
PLASMA_zhegv
PLASMA_zhegvd
PLASMA_zhemm
PLASMA_zher2k
PLASMA_zherk
PLASMA_zhetrd
PLASMA_zlacpy
PLASMA_zlange
PLASMA_zlanhe
PLASMA_zlansy
PLASMA_zLapack_to_Tile
PLASMA_zlaset
PLASMA_zlaswp
PLASMA_zlaswpc
PLASMA_zlauum
PLASMA_zplghe
PLASMA_zplgsy
PLASMA_zplrnt
PLASMA_zposv
PLASMA_zpotrf
PLASMA_zpotri
PLASMA_zpotrs
PLASMA_zsymm
PLASMA_zsyr2k
PLASMA_zsyrk
PLASMA_zTile_to_Lapack
PLASMA_ztrmm
PLASMA_ztrsm
PLASMA_ztrsmpl
PLASMA_ztrsmrv
PLASMA_ztrtri
PLASMA_zunglq
PLASMA_zungqr
PLASMA_zunmlq
PLASMA_zunmqr
int PLASMA_zgebrd | ( | int | M,
|  | int | N,
|  | PLASMA_Complex64_t * | A,
|  | int | LDA,
|  | double * | D,
|  | double * | E,
|  | PLASMA_desc * | descT
| ) |  |
  PLASMA_zgebrd - 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_zgesvd 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_zgebrd_Tile PLASMA_zgebrd_Tile_Async PLASMA_cgebrd PLASMA_dgebrd PLASMA_sgebrd