SUBROUTINE SORMBR( 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 REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE SORMBR_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 REAL A(LDA,*), TAU(*), C(LDC,*), WORK(*)
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, DIMENSION(:) :: TAU, WORK REAL, 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, DIMENSION(:) :: TAU, WORK REAL, DIMENSION(:,:) :: A, C
void sormbr(char vect, char side, char trans, int m, int n, int k, float *a, int lda, float *tau, float *c, int ldc, int *info);
void sormbr_64(char vect, char side, char trans, long m, long n, long k, float *a, long lda, float *tau, float *c, long ldc, long *info);
If VECT = 'P', SORMBR 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 SGEBRD 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).
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.