dormbr - N matrix C with Q*C or Q**T*C or C*Q**T or C*Q or P*C or P**T*C or C*P or C*P**T.
SUBROUTINE DORMBR(VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 VECT, SIDE, TRANS INTEGER M, N, K, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE DORMBR_64(VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 VECT, SIDE, TRANS INTEGER*8 M, N, K, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) F95 INTERFACE SUBROUTINE ORMBR(VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: VECT, SIDE, TRANS INTEGER :: M, N, K, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C SUBROUTINE ORMBR_64(VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: VECT, SIDE, TRANS INTEGER(8) :: M, N, K, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C C INTERFACE #include <sunperf.h> void dormbr(char vect, char side, char trans, int m, int n, int k, dou- ble *a, int lda, double *tau, double *c, int ldc, int *info); void dormbr_64(char vect, char side, char trans, long m, long n, long k, double *a, long lda, double *tau, double *c, long ldc, long *info);
Oracle Solaris Studio Performance Library dormbr(3P) NAME dormbr - overwrites the general real M-by-N matrix C with Q*C or Q**T*C or C*Q**T or C*Q or P*C or P**T*C or C*P or C*P**T. SYNOPSIS SUBROUTINE DORMBR(VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 VECT, SIDE, TRANS INTEGER M, N, K, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE DORMBR_64(VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 VECT, SIDE, TRANS INTEGER*8 M, N, K, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) F95 INTERFACE SUBROUTINE ORMBR(VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: VECT, SIDE, TRANS INTEGER :: M, N, K, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C SUBROUTINE ORMBR_64(VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: VECT, SIDE, TRANS INTEGER(8) :: M, N, K, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C C INTERFACE #include <sunperf.h> void dormbr(char vect, char side, char trans, int m, int n, int k, dou- ble *a, int lda, double *tau, double *c, int ldc, int *info); void dormbr_64(char vect, char side, char trans, long m, long n, long k, double *a, long lda, double *tau, double *c, long ldc, long *info); PURPOSE If VECT = 'Q', DORMBR overwrites the general real M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'T': Q**T * C C * Q**T If VECT = 'P', DORMBR overwrites the general real M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': P * C C * P TRANS = 'T': P**T * C C * P**T Here Q and P**T are the orthogonal matrices determined by DGEBRD when reducing a real matrix A to bidiagonal form: A = Q * B * P**T. Q and P**T are defined as products of elementary reflectors H(i) and G(i) respectively. Let nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Thus nq is the order of the orthogonal matrix Q or P**T that is applied. If VECT = 'Q', A is assumed to have been an NQ-by-K matrix: if nq >= k, Q = H(1) H(2) . . . H(k); if nq < k, Q = H(1) H(2) . . . H(nq-1). If VECT = 'P', A is assumed to have been a K-by-NQ matrix: if k < nq, P = G(1) G(2) . . . G(k); if k >= nq, P = G(1) G(2) . . . G(nq-1). ARGUMENTS VECT (input) = 'Q': apply Q or Q**T; = 'P': apply P or P**T. SIDE (input) = 'L': apply Q, Q**T, P or P**T from the Left; = 'R': apply Q, Q**T, P or P**T from the Right. TRANS (input) = 'N': No transpose, apply Q or P; = 'T': Transpose, apply Q**T or P**T. M (input) The number of rows of the matrix C. M >= 0. N (input) The number of columns of the matrix C. N >= 0. K (input) If VECT = 'Q', the number of columns in the original matrix reduced by DGEBRD. If VECT = 'P', the number of rows in the original matrix reduced by DGEBRD. K >= 0. A (input) (LDA,min(nq,K)) if VECT = 'Q' (LDA,nq) if VECT = 'P' The vectors which define the elementary reflectors H(i) and G(i), whose products determine the matrices Q and P, as returned by DGEBRD. LDA (input) The leading dimension of the array A. If VECT = 'Q', LDA >= max(1,nq); if VECT = 'P', LDA >= max(1,min(nq,K)). TAU (input) TAU(i) must contain the scalar factor of the elementary reflector H(i) or G(i) which determines Q or P, as returned by DGEBRD in the array argument TAUQ or TAUP. C (input/output) On entry, the M-by-N matrix C. On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q or P*C or P**T*C or C*P or C*P**T. LDC (input) The leading dimension of the array C. LDC >= max(1,M). WORK (workspace) On exit, if INFO = 0, WORK(1) returns the optimal LWORK. LWORK (input) The dimension of the array WORK. If SIDE = 'L', LWORK >= max(1,N); if SIDE = 'R', LWORK >= max(1,M). For optimum per- formance LWORK >= N*NB if SIDE = 'L', and LWORK >= M*NB if SIDE = 'R', where NB is the optimal blocksize. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA. INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 dormbr(3P)