zlarfx.f man page

zlarfx.f —

Synopsis

Functions/Subroutines

subroutine zlarfx (SIDE, M, N, V, TAU, C, LDC, WORK)
ZLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

Function/Subroutine Documentation

subroutine zlarfx (characterSIDE, integerM, integerN, complex*16, dimension( * )V, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK)

ZLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

Purpose:

ZLARFX 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**H

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.

Parameters:

SIDE

SIDE is CHARACTER*1
= 'L': form  H * C
= 'R': form  C * H

M

M is INTEGER
The number of rows of the matrix C.

N

N is INTEGER
The number of columns of the matrix C.

V

V is COMPLEX*16 array, dimension (M) if SIDE = 'L'
                              or (N) if SIDE = 'R'
The vector v in the representation of H.

TAU

TAU is COMPLEX*16
The value tau in the representation of H.

C

C is 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

LDC is INTEGER
The leading dimension of the array C. LDA >= max(1,M).

WORK

WORK is COMPLEX*16 array, dimension (N) if SIDE = 'L'
                                  or (M) if SIDE = 'R'
WORK is not referenced if H has order < 11.

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Definition at line 120 of file zlarfx.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

zlarfx(3) is an alias of zlarfx.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK