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CUNMR3(l)			       )			     CUNMR3(l)

NAME
       CUNMR3  -  overwrite 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 CUNMR3( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC,	 WORK,
			  INFO )

	   CHARACTER	  SIDE, TRANS

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

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

PURPOSE
       CUNMR3  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', where Q is a complex unitary matrix defined as the product of  k
       elementary reflectors

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

       as  returned by CTZRZF. 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.

       L       (input) INTEGER
	       The number of columns of the matrix A containing the meaningful
	       part  of	 the Householder reflectors.  If SIDE = 'L', M >= L >=
	       0, if SIDE = 'R', N >= L >= 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 CTZRZF 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 reflecā€
	       tor H(i), as returned by CTZRZF.

       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

FURTHER DETAILS
       Based on contributions by
	 A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

LAPACK version 3.0		 15 June 2000			     CUNMR3(l)
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