ZUNMLQ(l)		LAPACK routine (version	1.1)		    ZUNMLQ(l)

NAME
  ZUNMLQ - overwrite the general complex M-by-N	matrix C with	SIDE = 'L'
  SIDE = 'R' TRANS = 'N'

SYNOPSIS

  SUBROUTINE ZUNMLQ( SIDE, TRANS, M, N,	K, A, LDA, TAU,	C, LDC,	WORK, LWORK,
		     INFO )

      CHARACTER	     SIDE, TRANS

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

      COMPLEX*16     A(	LDA, * ), C( LDC, * ), TAU( * ), WORK( LWORK )

PURPOSE
  ZUNMLQ overwrites the	general	complex	M-by-N matrix C	with TRANS = 'C':
  Q**H * C	 C * Q**H

  where	Q is a complex unitary matrix defined as the product of	k elementary
  reflectors

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

  as returned by ZGELQF. Q is of order M if SIDE = 'L' and of order N if SIDE
  = 'R'.

ARGUMENTS

  SIDE	  (input) CHARACTER*1
	  = 'L': apply Q or Q**H from the Left;
	  = 'R': apply Q or Q**H from the Right.

  TRANS	  (input) CHARACTER*1
	  = 'N':  No transpose,	apply Q;
	  = 'C':  Conjugate transpose, apply Q**H.

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

  N	  (input) INTEGER
	  The number of	columns	of the matrix C. N >= 0.

  K	  (input) INTEGER
	  The number of	elementary reflectors whose product defines the
	  matrix Q.  If	SIDE = 'L', M >= K >= 0; if SIDE = 'R',	N >= K >= 0.

  A	  (input) COMPLEX*16 array, dimension
	  (LDA,M) if SIDE = 'L', (LDA,N) if SIDE = 'R' The i-th	row must con-
	  tain the vector which	defines	the elementary reflector H(i), for i
	  = 1,2,...,k, as returned by ZGELQF in	the first k rows of its	array
	  argument A.  A is modified by	the routine but	restored on exit.

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

  TAU	  (input) COMPLEX*16 array, dimension (K)
	  TAU(i) must contain the scalar factor	of the elementary reflector
	  H(i),	as returned by ZGELQF.

  C	  (input/output) COMPLEX*16 array, dimension (LDC,N)
	  On entry, the	M-by-N matrix C.  On exit, C is	overwritten by Q*C or
	  Q**H*C or C*Q**H or C*Q.

  LDC	  (input) INTEGER
	  The leading dimension	of the array C.	LDC >= max(1,M).

  WORK	  (workspace) COMPLEX*16 array,	dimension (LWORK)
	  On exit, if INFO = 0,	WORK(1)	returns	the optimal LWORK.

  LWORK	  (input) INTEGER
	  The dimension	of the array WORK.  If SIDE = 'L', LWORK >= max(1,N);
	  if SIDE = 'R', LWORK >= max(1,M).  For optimum performance LWORK >=
	  N*NB if SIDE 'L', and	LWORK >= M*NB if SIDE =	'R', where NB is the
	  optimal blocksize.

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