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clarfx.f(3) LAPACK clarfx.f(3)

NAME

clarfx.f -

SYNOPSIS

Functions/Subroutines


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

Function/Subroutine Documentation

subroutine clarfx (characterSIDE, integerM, integerN, complex, dimension( * )V, complexTAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK)

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

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

TAU


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

C


C is 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


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

WORK


WORK is COMPLEX 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 clarfx.f.

Author

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Tue Sep 25 2012 Version 3.4.2