# clarfx.3lapack

Langue: en

Version: 290111 (debian - 07/07/09)

Section: 3 (Bibliothèques de fonctions)

# Sommaire

## NAME

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

## SYNOPSIS

SUBROUTINE CLARFX(
SIDE, M, N, V, TAU, C, LDC, WORK )

IMPLICIT NONE

CHARACTER SIDE

INTEGER LDC, M, N

COMPLEX TAU

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

## PURPOSE

CLARFX 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
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) COMPLEX array, dimension (M) if SIDE = 'L'
or (N) if SIDE = 'R' The vector v in the representation of H.
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. LDA >= max(1,M).
WORK (workspace) COMPLEX array, dimension (N) if SIDE = 'L'
or (M) if SIDE = 'R' WORK is not referenced if H has order < 11.