sorglq (3p)

Name

sorglq - N real matrix Q with orthonormal rows,

Synopsis

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);

Description

Oracle Solaris Studio Performance Library                           sorglq(3P)



NAME
       sorglq - generate an M-by-N real matrix Q with orthonormal rows,


SYNOPSIS
       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);



PURPOSE
       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.


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 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 elementary
                 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  rou-
                 tine  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 illegal value




                                  7 Nov 2015                        sorglq(3P)