dorglq man page on YellowDog

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DORGLQ(l)			       )			     DORGLQ(l)

NAME
       DORGLQ - generate an M-by-N real matrix Q with orthonormal rows,

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

	   INTEGER	  INFO, K, LDA, LWORK, M, N

	   DOUBLE	  PRECISION A( LDA, * ), TAU( * ), WORK( * )

PURPOSE
       DORGLQ  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) 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) DOUBLE PRECISION 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 DGELQF 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) DOUBLE PRECISION array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflec‐
	       tor H(i), as returned by DGELQF.

       WORK    (workspace/output) DOUBLE PRECISION array, dimension (LWORK)
	       On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

       LWORK   (input) INTEGER
	       The dimension of the array WORK. LWORK >= max(1,M).  For	 opti‐
	       mum  performance	 LWORK >= M*NB, where NB is the optimal block‐
	       size.

	       If LWORK = -1, then a workspace query is assumed;  the  routine
	       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 LWORK is issued by XERBLA.

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

LAPACK version 3.0		 15 June 2000			     DORGLQ(l)
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