Man page - larfx(3)

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Manual

larfx

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine clarfx (character side, integer m, integer n, complex,dimension( * ) v, complex tau, complex, dimension( ldc, * ) c, integerldc, complex, dimension( * ) work)
subroutine dlarfx (character side, integer m, integer n, double precision,dimension( * ) v, double precision tau, double precision, dimension(ldc, * ) c, integer ldc, double precision, dimension( * ) work)
subroutine slarfx (character side, integer m, integer n, real, dimension( *) v, real tau, real, dimension( ldc, * ) c, integer ldc, real,dimension( * ) work)
subroutine zlarfx (character side, integer m, integer n, complex*16,dimension( * ) v, complex*16 tau, complex*16, dimension( ldc, * ) c,integer ldc, complex*16, dimension( * ) work)
Author

NAME

larfx - larfx: apply Householder reflector, unrolled

SYNOPSIS

Functions

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.
subroutine dlarfx (side, m, n, v, tau, c, ldc, work)
DLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.
subroutine slarfx (side, m, n, v, tau, c, ldc, work)
SLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.
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.

Detailed Description

Function Documentation

subroutine clarfx (character side, integer m, integer n, complex,dimension( * ) v, complex tau, 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. LDC >= 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.

subroutine dlarfx (character side, integer m, integer n, double precision,dimension( * ) v, double precision tau, double precision, dimension(ldc, * ) c, integer ldc, double precision, dimension( * ) work)

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

Purpose:

DLARFX applies a real elementary reflector H to a real m by n
matrix C, from either the left or the right. H is represented in the
form

H = I - tau * v * v**T

where tau is a real scalar and v is a real 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 DOUBLE PRECISION array, dimension (M) if SIDE = ’L’
or (N) if SIDE = ’R’
The vector v in the representation of H.

TAU

TAU is DOUBLE PRECISION
The value tau in the representation of H.

C

C is DOUBLE PRECISION 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. LDC >= (1,M).

WORK

WORK is DOUBLE PRECISION 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.

subroutine slarfx (character side, integer m, integer n, real, dimension( *) v, real tau, real, dimension( ldc, * ) c, integer ldc, real,dimension( * ) work)

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

Purpose:

SLARFX applies a real elementary reflector H to a real m by n
matrix C, from either the left or the right. H is represented in the
form

H = I - tau * v * v**T

where tau is a real scalar and v is a real 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 REAL array, dimension (M) if SIDE = ’L’
or (N) if SIDE = ’R’
The vector v in the representation of H.

TAU

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

C

C is REAL 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. LDC >= (1,M).

WORK

WORK is REAL 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.

subroutine zlarfx (character side, integer m, integer n, complex*16,dimension( * ) v, complex*16 tau, complex*16, dimension( ldc, * ) c,integer ldc, 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. LDC >= 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.

Author

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