PLASMA: PLASMA_sgebrd

PLASMA 2.4.6

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PLASMA_sgebrd
PLASMA_sgelqf
PLASMA_sgelqs
PLASMA_sgels
PLASMA_sgemm
PLASMA_sgeqrf
PLASMA_sgeqrs
PLASMA_sgesv
PLASMA_sgesv_incpiv
PLASMA_sgesvd
PLASMA_sgetrf
PLASMA_sgetrf_incpiv
PLASMA_sgetri
PLASMA_sgetrs
PLASMA_sgetrs_incpiv
PLASMA_slacpy
PLASMA_slange
PLASMA_slansy
PLASMA_sLapack_to_Tile
PLASMA_slaset
PLASMA_slaswp
PLASMA_slaswpc
PLASMA_slauum
PLASMA_sorglq
PLASMA_sorgqr
PLASMA_sormlq
PLASMA_sormqr
PLASMA_splgsy
PLASMA_splrnt
PLASMA_sposv
PLASMA_spotrf
PLASMA_spotri
PLASMA_spotrs
PLASMA_ssyev
PLASMA_ssyevd
PLASMA_ssygst
PLASMA_ssygv
PLASMA_ssygvd
PLASMA_ssymm
PLASMA_ssyr2k
PLASMA_ssyrk
PLASMA_ssytrd
PLASMA_sTile_to_Lapack
PLASMA_strmm
PLASMA_strsm
PLASMA_strsmpl
PLASMA_strsmrv
PLASMA_strtri
int PLASMA_sgebrd | ( | int | M,
|  | int | N,
|  | float * | A,
|  | int | LDA,
|  | float * | D,
|  | float * | E,
|  | PLASMA_desc * | descT
| ) |  |
  PLASMA_sgebrd - 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_sgesvd 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_sgebrd_Tile PLASMA_sgebrd_Tile_Async PLASMA_cgebrd PLASMA_dgebrd PLASMA_sgebrd