sorgl2 man page on Scientific

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SORGL2(1)		 LAPACK routine (version 3.2)		     SORGL2(1)

NAME
       SORGL2 - generates an m by n real matrix Q with orthonormal rows,

SYNOPSIS
       SUBROUTINE SORGL2( M, N, K, A, LDA, TAU, WORK, INFO )

	   INTEGER	  INFO, K, LDA, M, N

	   REAL		  A( LDA, * ), TAU( * ), WORK( * )

PURPOSE
       SORGL2  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 SGELQF.

ARGUMENTS
       M       (input) INTEGER
	       The number of rows of the matrix Q. M >= 0.

       N       (input) INTEGER
	       The number of columns of the matrix Q. N >= M.

       K       (input) INTEGER
	       The  number  of elementary reflectors whose product defines the
	       matrix Q. M >= K >= 0.

       A       (input/output) REAL array, dimension (LDA,N)
	       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 SGELQF in the first k rows of	 its  array  argument  A.   On
	       exit, the m-by-n matrix Q.

       LDA     (input) INTEGER
	       The first dimension of the array A. LDA >= max(1,M).

       TAU     (input) REAL array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflecā€
	       tor H(i), as returned by SGELQF.

       WORK    (workspace) REAL array, dimension (M)

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

 LAPACK routine (version 3.2)	 November 2008			     SORGL2(1)
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