clarfx.f man page

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

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

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

Sat Nov 16 2013 Version 3.4.2 LAPACK