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CUNGQR(l)			       )			     CUNGQR(l)

NAME
       CUNGQR - generate an M-by-N complex matrix Q with orthonormal columns,

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

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

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

PURPOSE
       CUNGQR  generates  an M-by-N complex 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 CGEQRF.

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. M >= N >= 0.

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

       A       (input/output) COMPLEX array, dimension (LDA,N)
	       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 CGEQRF in the first k columns 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 CGEQRF.

       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,N).  For	 opti‐
	       mum  performance	 LWORK >= N*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			     CUNGQR(l)
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