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dorgqr(3P)		    Sun Performance Library		    dorgqr(3P)

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

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

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

       SUBROUTINE DORGQR_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 ORGQR(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 ORGQR_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  dorgqr(int	 m, int n, int k, double *a, int lda, double *tau, int
		 *info);

       void dorgqr_64(long m, long n, long k,  double  *a,  long  lda,	double
		 *tau, long *info);

PURPOSE
       dorgqr  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 DGEQRF.

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 DGEQRF 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 DGEQRF.

       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

				  6 Mar 2009			    dorgqr(3P)
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