DLARF - applie a real elementary reflector H to a real m
by n matrix C, from either the left or the right
SYNOPSIS
SUBROUTINE DLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )
CHARACTER SIDE
INTEGER INCV, LDC, M, N
DOUBLE PRECISION TAU
DOUBLE PRECISION C( LDC, * ), V( * ), WORK( * )
PURPOSE
DLARF applies a real elementary reflector H to a real m by
n matrix C, from either the left or the right. H is repre
sented 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.
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.
V (input) DOUBLE PRECISION array, dimension
(1 + (M-1)*abs(INCV)) if SIDE = 'L' or (1 +
(N-1)*abs(INCV)) if SIDE = 'R' The vector v in the
representation of H. 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'.
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'
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