NAME¶

SLARFX - applies a real elementary reflector H to a real m by n matrix C, from either the left or the right

SYNOPSIS¶

SUBROUTINE SLARFX(

SIDE, M, N, V, TAU, C, LDC, WORK )

CHARACTER SIDE INTEGER LDC, M, N REAL TAU REAL C( LDC, * ), V( * ), WORK( * )

PURPOSE¶

SLARFX 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
This version uses inline code if H has order < 11.

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) REAL array, dimension (M) if SIDE = 'L'

or (N) if SIDE = 'R' The vector v in the representation of H.

TAU (input) REAL

The value tau in the representation of H.

C (input/output) REAL 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. LDA >= (1,M).

WORK (workspace) REAL array, dimension

(N) if SIDE = 'L' or (M) if SIDE = 'R' WORK is not referenced if H has order < 11.