sormql - N matrix C with Q*C or Q**T*C or C*Q**T or C*Q.
SUBROUTINE SORMQL(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 SORMQL_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 ORMQL(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 ORMQL_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 sormql(char side, char trans, int m, int n, int k, float *a, int lda, float *tau, float *c, int ldc, int *info); void sormql_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 sormql(3P) NAME sormql - 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 SORMQL(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 SORMQL_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 ORMQL(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 ORMQL_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 sormql(char side, char trans, int m, int n, int k, float *a, int lda, float *tau, float *c, int ldc, int *info); void sormql_64(char side, char trans, long m, long n, long k, float *a, long lda, float *tau, float *c, long ldc, long *info); PURPOSE sormql 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(k) . . . H(2) H(1) as returned by SGEQLF. 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) The i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by SGEQLF in the last k columns of its array argument A. A is modified by the routine but restored on exit. LDA (input) The leading dimension of the array A. If SIDE = 'L', LDA >= max(1,M); if SIDE = 'R', LDA >= max(1,N). TAU (input) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGEQLF. 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 sormql(3P)