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