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CUNMR2(1)		 LAPACK routine (version 3.2)		     CUNMR2(1)

NAME
       CUNMR2 - overwrites the general complex m-by-n matrix C with   Q * C if
       SIDE = 'L' and TRANS = 'N', or	Q'* C if SIDE = 'L' and TRANS  =  'C',
       or   C * Q if SIDE = 'R' and TRANS = 'N', or   C * Q' if SIDE = 'R' and
       TRANS = 'C',

SYNOPSIS
       SUBROUTINE CUNMR2( SIDE, TRANS, M, N, K, A, LDA,	 TAU,  C,  LDC,	 WORK,
			  INFO )

	   CHARACTER	  SIDE, TRANS

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

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

PURPOSE
       CUNMR2 overwrites the general complex m-by-n matrix C with where Q is a
       complex unitary matrix defined as the product of k  elementary  reflec‐
       tors
	     Q = H(1)' H(2)' . . . H(k)'
       as  returned by CGERQF. 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' from the Left
	       = 'R': apply Q or Q' from the Right

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

       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 array, dimension
	       (LDA,M) if SIDE = 'L', (LDA,N) if SIDE = 'R' The i-th row  must
	       contain the vector which defines the elementary reflector H(i),
	       for i = 1,2,...,k, as returned by CGERQF in the last 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 array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflec‐
	       tor H(i), as returned by CGERQF.

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

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

       WORK    (workspace) COMPLEX array, dimension
	       (N) if SIDE = 'L', (M) if SIDE = 'R'

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

 LAPACK routine (version 3.2)	 November 2008			     CUNMR2(1)
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