sorm2l - multiply a general matrix by the orthogonal matrix from a QL factorization determined by sgeqlf (unblocked algorithm)
SUBROUTINE SORM2L( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO ) CHARACTER*1 SIDE, TRANS INTEGER INFO, K, LDA, LDC, M, N REAL A(LDA,*), C(LDC,*), TAU(*), WORK(*) SUBROUTINE SORM2L_64( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO ) CHARACTER*1 SIDE, TRANS INTEGER*8 INFO, K, LDA, LDC, M, N REAL A(LDA,*), C(LDC,*), TAU(*), WORK(*) F95 INTERFACE SUBROUTINE ORM2L( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO ) REAL, DIMENSION(:,:) :: A, C INTEGER :: M, N, K, LDA, LDC, INFO CHARACTER(LEN=1) :: SIDE, TRANS REAL, DIMENSION(:) :: TAU, WORK SUBROUTINE ORM2L_64( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO ) REAL, DIMENSION(:,:) :: A, C INTEGER(8) :: M, N, K, LDA, LDC, INFO CHARACTER(LEN=1) :: SIDE, TRANS REAL, DIMENSION(:) :: TAU, WORK C INTERFACE #include <sunperf.h> void sorm2l (char side, char trans, int m, int n, int k, float *a, int lda, float *tau, float *c, int ldc, int *info); void sorm2l_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 sorm2l(3P) NAME sorm2l - multiply a general matrix by the orthogonal matrix from a QL factorization determined by sgeqlf (unblocked algorithm) SYNOPSIS SUBROUTINE SORM2L( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO ) CHARACTER*1 SIDE, TRANS INTEGER INFO, K, LDA, LDC, M, N REAL A(LDA,*), C(LDC,*), TAU(*), WORK(*) SUBROUTINE SORM2L_64( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO ) CHARACTER*1 SIDE, TRANS INTEGER*8 INFO, K, LDA, LDC, M, N REAL A(LDA,*), C(LDC,*), TAU(*), WORK(*) F95 INTERFACE SUBROUTINE ORM2L( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO ) REAL, DIMENSION(:,:) :: A, C INTEGER :: M, N, K, LDA, LDC, INFO CHARACTER(LEN=1) :: SIDE, TRANS REAL, DIMENSION(:) :: TAU, WORK SUBROUTINE ORM2L_64( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO ) REAL, DIMENSION(:,:) :: A, C INTEGER(8) :: M, N, K, LDA, LDC, INFO CHARACTER(LEN=1) :: SIDE, TRANS REAL, DIMENSION(:) :: TAU, WORK C INTERFACE #include <sunperf.h> void sorm2l (char side, char trans, int m, int n, int k, float *a, int lda, float *tau, float *c, int ldc, int *info); void sorm2l_64 (char side, char trans, long m, long n, long k, float *a, long lda, float *tau, float *c, long ldc, long *info); PURPOSE sorm2l overwrites the general real m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q**T * C if SIDE = 'L' and TRANS = 'T', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q**T if SIDE = 'R' and TRANS = '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) SIDE is CHARACTER*1 = 'L': apply Q or Q**T from the Left = 'R': apply Q or Q**T from the Right TRANS (input) TRANS is CHARACTER*1 = 'N': apply Q (No transpose) = 'T': apply Q**T (Transpose) M (input) M is INTEGER The number of rows of the matrix C. M >= 0. N (input) N is INTEGER The number of columns of the matrix C. N >= 0. K (input) K is INTEGER 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) A is REAL array, dimension (LDA,K) 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) LDA is INTEGER The leading dimension of the array A. If SIDE = 'L', LDA >= max(1,M); if SIDE = 'R', LDA >= max(1,N). TAU (input) TAU is REAL array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGEQLF. C (input/output) C is REAL array, dimension (LDC,N) 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) LDC is INTEGER The leading dimension of the array C. LDC >= max(1,M). WORK (output) WORK is REAL array, dimension (N) if SIDE = 'L', (M) if SIDE = 'R' INFO (output) INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 sorm2l(3P)