sorgr2(3P) Sun Performance Library sorgr2(3P)NAMEsorgr2 - generate an m by n real matrix Q with orthonormal rows,
SYNOPSIS
SUBROUTINE SORGR2(M, N, K, A, LDA, TAU, WORK, INFO)
INTEGER M, N, K, LDA, INFO
REAL A(LDA,*), TAU(*), WORK(*)
SUBROUTINE SORGR2_64(M, N, K, A, LDA, TAU, WORK, INFO)
INTEGER*8 M, N, K, LDA, INFO
REAL A(LDA,*), TAU(*), WORK(*)
F95 INTERFACE
SUBROUTINE ORGR2([M], [N], [K], A, [LDA], TAU, [WORK], [INFO])
INTEGER :: M, N, K, LDA, INFO
REAL, DIMENSION(:) :: TAU, WORK
REAL, DIMENSION(:,:) :: A
SUBROUTINE ORGR2_64([M], [N], [K], A, [LDA], TAU, [WORK], [INFO])
INTEGER(8) :: M, N, K, LDA, INFO
REAL, DIMENSION(:) :: TAU, WORK
REAL, DIMENSION(:,:) :: A
C INTERFACE
#include <sunperf.h>
void sorgr2(int m, int n, int k, float *a, int lda, float *tau, int
*info);
void sorgr2_64(long m, long n, long k, float *a, long lda, float *tau,
long *info);
PURPOSEsorgr2 generates an m by n real matrix Q with orthonormal rows, which
is defined as the last m rows of a product of k elementary reflectors
of order n
Q = H(1)H(2) . . . H(k)
as returned by SGERQF.
ARGUMENTS
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 (m-k+i)-th row must contain the vector which
defines the elementary reflector H(i), for i = 1,2,...,k, as
returned by SGERQF in the last 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 elementary
reflector H(i), as returned by SGERQF.
WORK (workspace)
dimension(M)
INFO (output)
= 0: successful exit
< 0: if INFO = -i, the i-th argument has an illegal value
6 Mar 2009 sorgr2(3P)