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CLARZ(1)		 LAPACK routine (version 3.2)		      CLARZ(1)

NAME
       CLARZ  -	 applies  a complex elementary reflector H to a complex M-by-N
       matrix C, from either the left or the right

SYNOPSIS
       SUBROUTINE CLARZ( SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK )

	   CHARACTER	 SIDE

	   INTEGER	 INCV, L, LDC, M, N

	   COMPLEX	 TAU

	   COMPLEX	 C( LDC, * ), V( * ), WORK( * )

PURPOSE
       CLARZ applies a complex elementary reflector  H	to  a  complex	M-by-N
       matrix  C,  from	 either the left or the right. H is represented in the
       form
	     H = I - tau * v * v'
       where tau is a complex scalar and v is a complex vector.
       If tau = 0, then H is taken to be the unit matrix.
       To apply H' (the conjugate transpose of H), supply  conjg(tau)  instead
       tau.
       H is a product of k elementary reflectors as returned by CTZRZF.

ARGUMENTS
       SIDE    (input) CHARACTER*1
	       = 'L': form  H * C
	       = 'R': form  C * H

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

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

       L       (input) INTEGER
	       The number of entries of the vector V containing the meaningful
	       part of the Householder vectors.	 If SIDE = 'L', M >= L	>=  0,
	       if SIDE = 'R', N >= L >= 0.

       V       (input) COMPLEX array, dimension (1+(L-1)*abs(INCV))
	       The  vector v in the representation of H as returned by CTZRZF.
	       V is not used if TAU = 0.

       INCV    (input) INTEGER
	       The increment between elements of v. INCV <> 0.

       TAU     (input) COMPLEX
	       The value tau in the representation of H.

       C       (input/output) COMPLEX array, dimension (LDC,N)
	       On entry, the M-by-N matrix C.  On exit, C  is  overwritten  by
	       the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.

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

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

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

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