sorgqr (3p)

Name

sorgqr - N real matrix Q with orthonormal columns,

Synopsis

SUBROUTINE SORGQR(M, N, K, A, LDA, TAU, WORK, LDWORK, INFO)

INTEGER M, N, K, LDA, LDWORK, INFO
REAL A(LDA,*), TAU(*), WORK(*)

SUBROUTINE SORGQR_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 ORGQR(M, N, K, A, LDA, TAU, WORK, LDWORK, INFO)

INTEGER :: M, N, K, LDA, LDWORK, INFO
REAL, DIMENSION(:) :: TAU, WORK
REAL, DIMENSION(:,:) :: A

SUBROUTINE ORGQR_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  sorgqr(int  m,  int  n, int k, float *a, int lda, float *tau, int
*info);

void sorgqr_64(long m, long n, long k, float *a, long lda, float  *tau,
long *info);

Description

Oracle Solaris Studio Performance Library                           sorgqr(3P)



NAME
       sorgqr - generate an M-by-N real matrix Q with orthonormal columns,


SYNOPSIS
       SUBROUTINE SORGQR(M, N, K, A, LDA, TAU, WORK, LDWORK, INFO)

       INTEGER M, N, K, LDA, LDWORK, INFO
       REAL A(LDA,*), TAU(*), WORK(*)

       SUBROUTINE SORGQR_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 ORGQR(M, N, K, A, LDA, TAU, WORK, LDWORK, INFO)

       INTEGER :: M, N, K, LDA, LDWORK, INFO
       REAL, DIMENSION(:) :: TAU, WORK
       REAL, DIMENSION(:,:) :: A

       SUBROUTINE ORGQR_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  sorgqr(int  m,  int  n, int k, float *a, int lda, float *tau, int
                 *info);

       void sorgqr_64(long m, long n, long k, float *a, long lda, float  *tau,
                 long *info);



PURPOSE
       sorgqr  generates  an  M-by-N  real  matrix Q with orthonormal columns,
       which is defined as the first N columns of a product  of  K  elementary
       reflectors of order M

             Q  =  H(1) H(2) . . . H(k)

       as returned by SGEQRF.


ARGUMENTS
       M (input) The number of rows of the matrix Q. M >= 0.


       N (input) The number of columns of the matrix Q. M >= N >= 0.


       K (input) The number of elementary reflectors whose product defines the
                 matrix Q. N >= K >= 0.


       A (input/output)
                 On entry, the i-th  column  must  contain  the  vector  which
                 defines  the elementary reflector H(i), for i = 1,2,...,k, as
                 returned by SGEQRF in the first k columns of its array  argu-
                 ment 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 SGEQRF.


       WORK (workspace)
                 On exit, if INFO = 0, WORK(1) returns the optimal LDWORK.


       LDWORK (input)
                 The dimension of the array WORK.  LDWORK  >=  max(1,N).   For
                 optimum  performance  LDWORK >= N*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                        sorgqr(3P)