dorgrq (3p)

Name

dorgrq - N real matrix Q with orthonormal rows,

Synopsis

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

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

SUBROUTINE DORGRQ_64(M, N, K, A, LDA, TAU, WORK, LDWORK, INFO)

INTEGER*8 M, N, K, LDA, LDWORK, INFO
DOUBLE PRECISION A(LDA,*), TAU(*), WORK(*)




F95 INTERFACE
SUBROUTINE ORGRQ(M, N, K, A, LDA, TAU, WORK, LDWORK, INFO)

INTEGER :: M, N, K, LDA, LDWORK, INFO
REAL(8), DIMENSION(:) :: TAU, WORK
REAL(8), DIMENSION(:,:) :: A

SUBROUTINE ORGRQ_64(M, N, K, A, LDA, TAU, WORK, LDWORK,
INFO)

INTEGER(8) :: M, N, K, LDA, LDWORK, INFO
REAL(8), DIMENSION(:) :: TAU, WORK
REAL(8), DIMENSION(:,:) :: A




C INTERFACE
#include <sunperf.h>

void  dorgrq(int  m, int n, int k, double *a, int lda, double *tau, int
*info);

void dorgrq_64(long m, long n, long k,  double  *a,  long  lda,  double
*tau, long *info);

Description

Oracle Solaris Studio Performance Library                           dorgrq(3P)



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


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

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

       SUBROUTINE DORGRQ_64(M, N, K, A, LDA, TAU, WORK, LDWORK, INFO)

       INTEGER*8 M, N, K, LDA, LDWORK, INFO
       DOUBLE PRECISION A(LDA,*), TAU(*), WORK(*)




   F95 INTERFACE
       SUBROUTINE ORGRQ(M, N, K, A, LDA, TAU, WORK, LDWORK, INFO)

       INTEGER :: M, N, K, LDA, LDWORK, INFO
       REAL(8), DIMENSION(:) :: TAU, WORK
       REAL(8), DIMENSION(:,:) :: A

       SUBROUTINE ORGRQ_64(M, N, K, A, LDA, TAU, WORK, LDWORK,
              INFO)

       INTEGER(8) :: M, N, K, LDA, LDWORK, INFO
       REAL(8), DIMENSION(:) :: TAU, WORK
       REAL(8), DIMENSION(:,:) :: A




   C INTERFACE
       #include <sunperf.h>

       void  dorgrq(int  m, int n, int k, double *a, int lda, double *tau, int
                 *info);

       void dorgrq_64(long m, long n, long k,  double  *a,  long  lda,  double
                 *tau, long *info);



PURPOSE
       dorgrq  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 DGERQF.


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 DGERQF 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 DGERQF.


       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                        dorgrq(3P)