Man page - larfy(3)

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Manual

larfy

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine clarfy (character uplo, integer n, complex, dimension( * ) v,integer incv, complex tau, complex, dimension( ldc, * ) c, integer ldc,complex, dimension( * ) work)
subroutine dlarfy (character uplo, integer n, double precision, dimension(* ) v, integer incv, double precision tau, double precision, dimension(ldc, * ) c, integer ldc, double precision, dimension( * ) work)
subroutine slarfy (character uplo, integer n, real, dimension( * ) v,integer incv, real tau, real, dimension( ldc, * ) c, integer ldc, real,dimension( * ) work)
subroutine zlarfy (character uplo, integer n, complex*16, dimension( * ) v,integer incv, complex*16 tau, complex*16, dimension( ldc, * ) c,integer ldc, complex*16, dimension( * ) work)
Author

NAME

larfy - larfy: apply Householder reflector symmetrically (2-sided)

SYNOPSIS

Functions

subroutine clarfy (uplo, n, v, incv, tau, c, ldc, work)
CLARFY
subroutine dlarfy (uplo, n, v, incv, tau, c, ldc, work)
DLARFY
subroutine slarfy (uplo, n, v, incv, tau, c, ldc, work)
SLARFY
subroutine zlarfy (uplo, n, v, incv, tau, c, ldc, work)
ZLARFY

Detailed Description

Function Documentation

subroutine clarfy (character uplo, integer n, complex, dimension( * ) v,integer incv, complex tau, complex, dimension( ldc, * ) c, integer ldc,complex, dimension( * ) work)

CLARFY

Purpose:

CLARFY applies an elementary reflector, or Householder matrix, H,
to an n x n Hermitian matrix C, from both the left and the right.

H is represented in the form

H = I - tau * v * v’

where tau is a scalar and v is a vector.

If tau is zero, then H is taken to be the unit matrix.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the upper or lower triangular part of the
Hermitian matrix C is stored.
= ’U’: Upper triangle
= ’L’: Lower triangle

N

N is INTEGER
The number of rows and columns of the matrix C. N >= 0.

V

V is COMPLEX array, dimension
(1 + (N-1)*abs(INCV))
The vector v as described above.

INCV

INCV is INTEGER
The increment between successive elements of v. INCV must
not be zero.

TAU

TAU is COMPLEX
The value tau as described above.

C

C is COMPLEX array, dimension (LDC, N)
On entry, the matrix C.
On exit, C is overwritten by H * C * H’.

LDC

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

WORK

WORK is COMPLEX array, dimension (N)

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine dlarfy (character uplo, integer n, double precision, dimension(* ) v, integer incv, double precision tau, double precision, dimension(ldc, * ) c, integer ldc, double precision, dimension( * ) work)

DLARFY

Purpose:

DLARFY applies an elementary reflector, or Householder matrix, H,
to an n x n symmetric matrix C, from both the left and the right.

H is represented in the form

H = I - tau * v * v’

where tau is a scalar and v is a vector.

If tau is zero, then H is taken to be the unit matrix.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the upper or lower triangular part of the
symmetric matrix C is stored.
= ’U’: Upper triangle
= ’L’: Lower triangle

N

N is INTEGER
The number of rows and columns of the matrix C. N >= 0.

V

V is DOUBLE PRECISION array, dimension
(1 + (N-1)*abs(INCV))
The vector v as described above.

INCV

INCV is INTEGER
The increment between successive elements of v. INCV must
not be zero.

TAU

TAU is DOUBLE PRECISION
The value tau as described above.

C

C is DOUBLE PRECISION array, dimension (LDC, N)
On entry, the matrix C.
On exit, C is overwritten by H * C * H’.

LDC

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

WORK

WORK is DOUBLE PRECISION array, dimension (N)

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine slarfy (character uplo, integer n, real, dimension( * ) v,integer incv, real tau, real, dimension( ldc, * ) c, integer ldc, real,dimension( * ) work)

SLARFY

Purpose:

SLARFY applies an elementary reflector, or Householder matrix, H,
to an n x n symmetric matrix C, from both the left and the right.

H is represented in the form

H = I - tau * v * v’

where tau is a scalar and v is a vector.

If tau is zero, then H is taken to be the unit matrix.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the upper or lower triangular part of the
symmetric matrix C is stored.
= ’U’: Upper triangle
= ’L’: Lower triangle

N

N is INTEGER
The number of rows and columns of the matrix C. N >= 0.

V

V is REAL array, dimension
(1 + (N-1)*abs(INCV))
The vector v as described above.

INCV

INCV is INTEGER
The increment between successive elements of v. INCV must
not be zero.

TAU

TAU is REAL
The value tau as described above.

C

C is REAL array, dimension (LDC, N)
On entry, the matrix C.
On exit, C is overwritten by H * C * H’.

LDC

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

WORK

WORK is REAL array, dimension (N)

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine zlarfy (character uplo, integer n, complex*16, dimension( * ) v,integer incv, complex*16 tau, complex*16, dimension( ldc, * ) c,integer ldc, complex*16, dimension( * ) work)

ZLARFY

Purpose:

ZLARFY applies an elementary reflector, or Householder matrix, H,
to an n x n Hermitian matrix C, from both the left and the right.

H is represented in the form

H = I - tau * v * v’

where tau is a scalar and v is a vector.

If tau is zero, then H is taken to be the unit matrix.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the upper or lower triangular part of the
Hermitian matrix C is stored.
= ’U’: Upper triangle
= ’L’: Lower triangle

N

N is INTEGER
The number of rows and columns of the matrix C. N >= 0.

V

V is COMPLEX*16 array, dimension
(1 + (N-1)*abs(INCV))
The vector v as described above.

INCV

INCV is INTEGER
The increment between successive elements of v. INCV must
not be zero.

TAU

TAU is COMPLEX*16
The value tau as described above.

C

C is COMPLEX*16 array, dimension (LDC, N)
On entry, the matrix C.
On exit, C is overwritten by H * C * H’.

LDC

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

WORK

WORK is COMPLEX*16 array, dimension (N)

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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