sormrq - N matrix C with Q*C or Q**T*C or C*Q**T or C*Q.
SUBROUTINE SORMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER M, N, K, LDA, LDC, LWORK, INFO REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE SORMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER*8 M, N, K, LDA, LDC, LWORK, INFO REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*) F95 INTERFACE SUBROUTINE ORMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER :: M, N, K, LDA, LDC, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A, C SUBROUTINE ORMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER(8) :: M, N, K, LDA, LDC, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A, C C INTERFACE #include <sunperf.h> void sormrq(char side, char trans, int m, int n, int k, float *a, int lda, float *tau, float *c, int ldc, int *info); void sormrq_64(char side, char trans, long m, long n, long k, float *a, long lda, float *tau, float *c, long ldc, long *info);
Oracle Solaris Studio Performance Library sormrq(3P) NAME sormrq - overwrite the general real M-by-N matrix C with Q*C or Q**T*C or C*Q**T or C*Q. SYNOPSIS SUBROUTINE SORMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER M, N, K, LDA, LDC, LWORK, INFO REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE SORMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER*8 M, N, K, LDA, LDC, LWORK, INFO REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*) F95 INTERFACE SUBROUTINE ORMRQ(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER :: M, N, K, LDA, LDC, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A, C SUBROUTINE ORMRQ_64(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER(8) :: M, N, K, LDA, LDC, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A, C C INTERFACE #include <sunperf.h> void sormrq(char side, char trans, int m, int n, int k, float *a, int lda, float *tau, float *c, int ldc, int *info); void sormrq_64(char side, char trans, long m, long n, long k, float *a, long lda, float *tau, float *c, long ldc, long *info); PURPOSE sormrq 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 where Q is a real orthogonal matrix defined as the product of k elemen- tary reflectors Q = H(1) H(2) . . . H(k) as returned by SGERQF. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. ARGUMENTS SIDE (input) = 'L': apply Q or Q**T from the Left; = 'R': apply Q or Q**T from the Right. TRANS (input) = 'N': No transpose, apply Q; = 'T': Transpose, apply Q**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) The number of elementary reflectors whose product defines the matrix Q. If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >= K >= 0. A (input) (LDA,M) if SIDE = 'L', (LDA,N) if SIDE = 'R' The i-th row must contain the vector which defines the elementary reflec- tor H(i), for i = 1,2,...,k, as returned by SGERQF in the last k rows of its array argument A. A is modified by the routine but restored on exit. LDA (input) The leading dimension of the array A. LDA >= max(1,K). TAU (input) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGERQF. 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. 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 sormrq(3P)