Contents
sorglq - generate an M-by-N real matrix Q with orthonormal
rows,
SUBROUTINE SORGLQ(M, N, K, A, LDA, TAU, WORK, LDWORK, INFO)
INTEGER M, N, K, LDA, LDWORK, INFO
REAL A(LDA,*), TAU(*), WORK(*)
SUBROUTINE SORGLQ_64(M, N, K, A, LDA, TAU, WORK, LDWORK, INFO)
INTEGER*8 M, N, K, LDA, LDWORK, INFO
REAL A(LDA,*), TAU(*), WORK(*)
F95 INTERFACE
SUBROUTINE ORGLQ(M, [N], [K], A, [LDA], TAU, [WORK], [LDWORK], [INFO])
INTEGER :: M, N, K, LDA, LDWORK, INFO
REAL, DIMENSION(:) :: TAU, WORK
REAL, DIMENSION(:,:) :: A
SUBROUTINE ORGLQ_64(M, [N], [K], A, [LDA], TAU, [WORK], [LDWORK],
[INFO])
INTEGER(8) :: M, N, K, LDA, LDWORK, INFO
REAL, DIMENSION(:) :: TAU, WORK
REAL, DIMENSION(:,:) :: A
C INTERFACE
#include <sunperf.h>
void sorglq(int m, int n, int k, float *a, int lda, float
*tau, int *info);
void sorglq_64(long m, long n, long k, float *a, long lda,
float *tau, long *info);
sorglq generates an M-by-N real matrix Q with orthonormal
rows, which is defined as the first M rows of a product of K
elementary reflectors of order N
Q = H(k) . . . H(2) H(1)
as returned by SGELQF.
M (input) The number of rows of the matrix Q. M >= 0.
N (input) The number of columns of the matrix Q. N >= M.
K (input) The number of elementary reflectors whose product
defines the matrix Q. M >= K >= 0.
A (input/output)
On entry, the i-th row must contain the vector
which defines the elementary reflector H(i), for i
= 1,2,...,k, as returned by SGELQF in the first k
rows of its array argument A. On exit, the M-by-N
matrix Q.
LDA (input)
The first dimension of the array A. LDA >=
max(1,M).
TAU (input)
TAU(i) must contain the scalar factor of the ele-
mentary reflector H(i), as returned by SGELQF.
WORK (workspace)
On exit, if INFO = 0, WORK(1) returns the optimal
LDWORK.
LDWORK (input)
The dimension of the array WORK. LDWORK >=
max(1,M). For optimum performance LDWORK >= M*NB,
where NB is the optimal blocksize.
If LDWORK = -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 LDWORK is issued by XERBLA.
INFO (output)
= 0: successful exit
< 0: if INFO = -i, the i-th argument has an ille-
gal value