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dorg2r(3P)		    Sun Performance Library		    dorg2r(3P)

NAME
       dorg2r - generate an m by n real matrix Q with orthonormal columns,

SYNOPSIS
       SUBROUTINE DORG2R(M, N, K, A, LDA, TAU, WORK, INFO)

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

       SUBROUTINE DORG2R_64(M, N, K, A, LDA, TAU, WORK, INFO)

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

   F95 INTERFACE
       SUBROUTINE ORG2R([M], [N], [K], A, [LDA], TAU, [WORK], [INFO])

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

       SUBROUTINE ORG2R_64([M], [N], [K], A, [LDA], TAU, [WORK], [INFO])

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

   C INTERFACE
       #include <sunperf.h>

       void  dorg2r(int	 m, int n, int k, double *a, int lda, double *tau, int
		 *info);

       void dorg2r_64(long m, long n, long k,  double  *a,  long  lda,	double
		 *tau, long *info);

PURPOSE
       dorg2r  R  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)
		 dimension(N)

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

				  6 Mar 2009			    dorg2r(3P)
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