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