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CUNM2L(1)		 LAPACK routine (version 3.2)		     CUNM2L(1)

NAME
       CUNM2L - 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 CUNM2L( 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
       CUNM2L 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(k) . . . H(2) H(1)
       as  returned by CGEQLF. 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,K)
	       The i-th column must contain the vector which defines the  ele‐
	       mentary	reflector H(i), for i = 1,2,...,k, as returned by CGE‐
	       QLF in the last k columns of its array argument A.  A is	 modi‐
	       fied by the routine but restored on exit.

       LDA     (input) INTEGER
	       The  leading  dimension	of the array A.	 If SIDE = 'L', LDA >=
	       max(1,M); if SIDE = 'R', LDA >= max(1,N).

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

       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			     CUNM2L(1)

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