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dorgl2(3P)		    Sun Performance Library		    dorgl2(3P)

NAME
       dorgl2 - generate an m by n real matrix Q with orthonormal rows,

SYNOPSIS
       SUBROUTINE DORGL2(M, N, K, A, LDA, TAU, WORK, INFO)

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

       SUBROUTINE DORGL2_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 ORGL2([M], [N], [K], A, [LDA], TAU, [WORK], [INFO])

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

       SUBROUTINE ORGL2_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  dorgl2(int	 m, int n, int k, double *a, int lda, double *tau, int
		 *info);

       void dorgl2_64(long m, long n, long k,  double  *a,  long  lda,	double
		 *tau, long *info);

PURPOSE
       dorgl2  generates  an m by n real matrix Q with orthonormal rows, which
       is defined as the first m rows of a product of k elementary  reflectors
       of order n

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

       as returned by DGELQF.

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 i-th row must contain the vector which  defines
		 the elementary reflector H(i), for i = 1,2,...,k, as returned
		 by DGELQF in the first 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 DGELQF.

       WORK (workspace)
		 dimension(M)

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

				  6 Mar 2009			    dorgl2(3P)
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