zlarfx(3)

NAME

ZLARFX - applie a complex elementary reflector H to a com

plex m by n matrix C, from either the left or the right

SYNOPSIS

SUBROUTINE ZLARFX( SIDE, M, N, V, TAU, C, LDC, WORK )
    CHARACTER      SIDE
    INTEGER        LDC, M, N
    COMPLEX*16     TAU
    COMPLEX*16     C( LDC, * ), V( * ), WORK( * )

PURPOSE

ZLARFX applies a complex elementary reflector H to a com

plex 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*16 array, dimension (M) if SIDE =

'L'

or (N) if SIDE = 'R' The vector v in the represen

tation of H.

TAU (input) COMPLEX*16

The value tau in the representation of H.

C (input/output) COMPLEX*16 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*16 array, dimension (N) if

SIDE = 'L'

or (M) if SIDE = 'R' WORK is not referenced if H

has order < 11.

LAPACK version 3.0 15 June 2000

ZLARFX(3)