PLASMA: PLASMA_dgebrd_Tile

PLASMA 2.4.6

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PLASMA_dgebrd_Tile
PLASMA_dgecon_Tile
PLASMA_dgelqf_Tile
PLASMA_dgelqs_Tile
PLASMA_dgels_Tile
PLASMA_dgemm_Tile
PLASMA_dgeqrf_Tile
PLASMA_dgeqrs_Tile
PLASMA_dgesv_incpiv_Tile
PLASMA_dgesv_Tile
PLASMA_dgesvd_Tile
PLASMA_dgetrf_incpiv_Tile
PLASMA_dgetrf_Tile
PLASMA_dgetri_Tile
PLASMA_dgetrs_incpiv_Tile
PLASMA_dgetrs_Tile
PLASMA_dlacpy_Tile
PLASMA_dlange_Tile
PLASMA_dlansy_Tile
PLASMA_dlaset_Tile
PLASMA_dlaswp_Tile
PLASMA_dlaswpc_Tile
PLASMA_dlauum_Tile
PLASMA_dorglq_Tile
PLASMA_dorgqr_Tile
PLASMA_dormlq_Tile
PLASMA_dormqr_Tile
PLASMA_dplgsy_Tile
PLASMA_dplrnt_Tile
PLASMA_dpocon_Tile
PLASMA_dposv_Tile
PLASMA_dpotrf_Tile
PLASMA_dpotri_Tile
PLASMA_dpotrs_Tile
PLASMA_dsgesv_Tile
PLASMA_dsposv_Tile
PLASMA_dsungesv_Tile
PLASMA_dsyev_Tile
PLASMA_dsyevd_Tile
PLASMA_dsygst_Tile
PLASMA_dsygv_Tile
PLASMA_dsygvd_Tile
PLASMA_dsymm_Tile
PLASMA_dsyr2k_Tile
PLASMA_dsyrk_Tile
PLASMA_dsytrd_Tile
PLASMA_dtrmm_Tile
PLASMA_dtrsm_Tile
PLASMA_dtrsmpl_Tile
PLASMA_dtrsmrv_Tile
PLASMA_dtrtri_Tile
int PLASMA_dgebrd_Tile | ( | PLASMA_desc * | A,
|  | double * | D,
|  | double * | E,
|  | PLASMA_desc * | T
| ) |  |
  PLASMA_dgebrd_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**T * 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_dgebrd(). 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_dgebrd PLASMA_dgebrd_Tile_Async PLASMA_cgebrd_Tile PLASMA_dgebrd_Tile PLASMA_sgebrd_Tile