cungr2 (3p)

Name

cungr2 - torization determined by cgerqf (unblocked algorithm)

Synopsis

SUBROUTINE CUNGR2(M, N, K, A, LDA, TAU, WORK, INFO)

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

SUBROUTINE CUNGR2_64(M, N, K, A, LDA, TAU, WORK, INFO)

COMPLEX A(LDA,*), TAU(*), WORK(*)
INTEGER*8 M, N, K, LDA, INFO




F95 INTERFACE
SUBROUTINE UNGR2(M, N, K, A, LDA, TAU, WORK, INFO)

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

SUBROUTINE UNGR2_64(M, N, K, A, LDA, TAU, WORK, INFO)

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




C INTERFACE
#include <sunperf.h>

void cungr2(int m, int n, int k, complex *a, int lda, complex *tau, int
*info);

void  cungr2_64(long  m,  long n, long k, complex *a, long lda, complex
*tau, long *info);

Description

Oracle Solaris Studio Performance Library                           cungr2(3P)



NAME
       cungr2  -  generate all or part of the unitary matrix Q from an RQ fac-
       torization determined by cgerqf (unblocked algorithm)


SYNOPSIS
       SUBROUTINE CUNGR2(M, N, K, A, LDA, TAU, WORK, INFO)

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

       SUBROUTINE CUNGR2_64(M, N, K, A, LDA, TAU, WORK, INFO)

       COMPLEX A(LDA,*), TAU(*), WORK(*)
       INTEGER*8 M, N, K, LDA, INFO




   F95 INTERFACE
       SUBROUTINE UNGR2(M, N, K, A, LDA, TAU, WORK, INFO)

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

       SUBROUTINE UNGR2_64(M, N, K, A, LDA, TAU, WORK, INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void cungr2(int m, int n, int k, complex *a, int lda, complex *tau, int
                 *info);

       void  cungr2_64(long  m,  long n, long k, complex *a, long lda, complex
                 *tau, long *info);



PURPOSE
       cungr2 generates an M-by-N complex  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 * H(2)**H . . . H(K)**H

       as returned by CGERQF.


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  CGERQF 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 CGERQF.


       WORK (workspace)
                 dimension(M)

       INFO (output)
                 = 0: successful exit
                 < 0: if INFO = -i, the i-th argument has an illegal value




                                  7 Nov 2015                        cungr2(3P)