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DLARZ(l)					)					 DLARZ(l)

NAME
       DLARZ  -  applie  a real elementary reflector H to a real M-by-N matrix C, from either the
       left or the right

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

	   CHARACTER	 SIDE

	   INTEGER	 INCV, L, LDC, M, N

	   DOUBLE	 PRECISION TAU

	   DOUBLE	 PRECISION C( LDC, * ), V( * ), WORK( * )

PURPOSE
       DLARZ applies a real elementary reflector H to a real 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 real scalar and v is a real vector.

       If tau = 0, then H is taken to be the unit matrix.

       H is a product of k elementary reflectors as returned by DTZRZF.

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 House-
	       holder vectors.	If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.

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

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

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

       C       (input/output) DOUBLE PRECISION 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) DOUBLE PRECISION 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 version 3.0			   15 June 2000 				 DLARZ(l)
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