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CUNGLQ(l)			       )			     CUNGLQ(l)

NAME
       CUNGLQ - generate an M-by-N complex matrix Q with orthonormal rows,

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

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

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

PURPOSE
       CUNGLQ  generates  an  M-by-N  complex  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 CGELQF.

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) COMPLEX 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 CGELQF 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) COMPLEX array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflec‐
	       tor H(i), as returned by CGELQF.

       WORK    (workspace/output) COMPLEX 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			     CUNGLQ(l)
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