sormrz - N matrix C with Q*C or Q**H*C or C*Q**H or C*Q.
SUBROUTINE SORMRZ(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER M, N, K, L, LDA, LDC, LWORK, INFO REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE SORMRZ_64(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER*8 M, N, K, L, LDA, LDC, LWORK, INFO REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*) F95 INTERFACE SUBROUTINE ORMRZ(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER :: M, N, K, L, LDA, LDC, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A, C SUBROUTINE ORMRZ_64(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER(8) :: M, N, K, L, LDA, LDC, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A, C C INTERFACE #include <sunperf.h> void sormrz(char side, char trans, int m, int n, int k, int l, float *a, int lda, float *tau, float *c, int ldc, int *info); void sormrz_64(char side, char trans, long m, long n, long k, long l, float *a, long lda, float *tau, float *c, long ldc, long *info);
Oracle Solaris Studio Performance Library sormrz(3P) NAME sormrz - overwrite the general real M-by-N matrix C with Q*C or Q**H*C or C*Q**H or C*Q. SYNOPSIS SUBROUTINE SORMRZ(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER M, N, K, L, LDA, LDC, LWORK, INFO REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE SORMRZ_64(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, TRANS INTEGER*8 M, N, K, L, LDA, LDC, LWORK, INFO REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*) F95 INTERFACE SUBROUTINE ORMRZ(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER :: M, N, K, L, LDA, LDC, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A, C SUBROUTINE ORMRZ_64(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, TRANS INTEGER(8) :: M, N, K, L, LDA, LDC, LWORK, INFO REAL, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A, C C INTERFACE #include <sunperf.h> void sormrz(char side, char trans, int m, int n, int k, int l, float *a, int lda, float *tau, float *c, int ldc, int *info); void sormrz_64(char side, char trans, long m, long n, long k, long l, float *a, long lda, float *tau, float *c, long ldc, long *info); PURPOSE sormrz 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 STZRZF. 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. L (input) The number of columns of the matrix A containing the meaning- ful part of the Householder reflectors. If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 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 STZRZF 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 STZRZF. C (input/output) On entry, the M-by-N matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H 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 FURTHER DETAILS Based on contributions by A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA 7 Nov 2015 sormrz(3P)