PLASMA: PLASMA_zgebrd_Tile

PLASMA 2.4.6

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PLASMA_zcgels_Tile
PLASMA_zcgesv_Tile
PLASMA_zcposv_Tile
PLASMA_zcungesv_Tile
PLASMA_zgebrd_Tile
PLASMA_zgecon_Tile
PLASMA_zgelqf_Tile
PLASMA_zgelqs_Tile
PLASMA_zgels_Tile
PLASMA_zgemm_Tile
PLASMA_zgeqrf_Tile
PLASMA_zgeqrs_Tile
PLASMA_zgesv_incpiv_Tile
PLASMA_zgesv_Tile
PLASMA_zgesvd_Tile
PLASMA_zgetrf_incpiv_Tile
PLASMA_zgetrf_Tile
PLASMA_zgetri_Tile
PLASMA_zgetrs_incpiv_Tile
PLASMA_zgetrs_Tile
PLASMA_zheev_Tile
PLASMA_zheevd_Tile
PLASMA_zhegst_Tile
PLASMA_zhegv_Tile
PLASMA_zhegvd_Tile
PLASMA_zhemm_Tile
PLASMA_zher2k_Tile
PLASMA_zherk_Tile
PLASMA_zhetrd_Tile
PLASMA_zlacpy_Tile
PLASMA_zlange_Tile
PLASMA_zlanhe_Tile
PLASMA_zlansy_Tile
PLASMA_zlaset_Tile
PLASMA_zlaswp_Tile
PLASMA_zlaswpc_Tile
PLASMA_zlauum_Tile
PLASMA_zplghe_Tile
PLASMA_zplgsy_Tile
PLASMA_zplrnt_Tile
PLASMA_zpocon_Tile
PLASMA_zposv_Tile
PLASMA_zpotrf_Tile
PLASMA_zpotri_Tile
PLASMA_zpotrs_Tile
PLASMA_zsymm_Tile
PLASMA_zsyr2k_Tile
PLASMA_zsyrk_Tile
PLASMA_ztrmm_Tile
PLASMA_ztrsm_Tile
PLASMA_ztrsmpl_Tile
PLASMA_ztrsmrv_Tile
PLASMA_ztrtri_Tile
PLASMA_zunglq_Tile
PLASMA_zungqr_Tile
PLASMA_zunmlq_Tile
PLASMA_zunmqr_Tile
int PLASMA_zgebrd_Tile | ( | PLASMA_desc * | A,
|  | double * | D,
|  | double * | E,
|  | PLASMA_desc * | T
| ) |  |
  PLASMA_zgebrd_Tile - 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. Note: T is incomplete and contains only the block reflectors of the first stage. Therefore, Q and P can not be built completely. Tile equivalent of PLASMA_zgebrd(). Operates on matrices stored by tiles. All matrices are passed through descriptors. All dimensions are taken from the descriptors. Parameters
  [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.
  [out] | D | The double precision array containing the diagonal elements of the bidiagonal matrix B: D(i) = A(i,i). Dimension (min(M,N)).
  [out] | E | The double precision array containing the off-diagonal elements of the bidiagonal matrix B: 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] | T | On exit, contains auxiliary factorization data.
Returns PLASMA_SUCCESS successful exit See Also PLASMA_zgebrd PLASMA_zgebrd_Tile_Async PLASMA_cgebrd_Tile PLASMA_dgebrd_Tile PLASMA_sgebrd_Tile