DLARF(3)

NAME
DLARF - 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 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.

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'.

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'