Man page - la_porpvgrw(3)

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Manual

la_porpvgrw

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
real function cla_porpvgrw (character*1 uplo, integer ncols, complex,dimension( lda, * ) a, integer lda, complex, dimension( ldaf, * ) af,integer ldaf, real, dimension( * ) work)
double precision function dla_porpvgrw (character*1 uplo, integer ncols,double precision, dimension( lda, * ) a, integer lda, double precision,dimension( ldaf, * ) af, integer ldaf, double precision, dimension( * )work)
real function sla_porpvgrw (character*1 uplo, integer ncols, real,dimension( lda, * ) a, integer lda, real, dimension( ldaf, * ) af,integer ldaf, real, dimension( * ) work)
double precision function zla_porpvgrw (character*1 uplo, integer ncols,complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(ldaf, * ) af, integer ldaf, double precision, dimension( * ) work)
Author

NAME

la_porpvgrw - la_porpvgrw: reciprocal pivot growth

SYNOPSIS

Functions

real function cla_porpvgrw (uplo, ncols, a, lda, af, ldaf, work)
CLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.
double precision function dla_porpvgrw (uplo, ncols, a, lda, af, ldaf, work)
DLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.
real function sla_porpvgrw (uplo, ncols, a, lda, af, ldaf, work)
SLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.
double precision function zla_porpvgrw (uplo, ncols, a, lda, af, ldaf, work)
ZLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.

Detailed Description

Function Documentation

real function cla_porpvgrw (character*1 uplo, integer ncols, complex,dimension( lda, * ) a, integer lda, complex, dimension( ldaf, * ) af,integer ldaf, real, dimension( * ) work)

CLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.

Purpose:

CLA_PORPVGRW computes the reciprocal pivot growth factor
norm(A)/norm(U). The ’max absolute element’ norm is used. If this is
much less than 1, the stability of the LU factorization of the
(equilibrated) matrix A could be poor. This also means that the
solution X, estimated condition numbers, and error bounds could be
unreliable.

Parameters

UPLO

UPLO is CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.

NCOLS

NCOLS is INTEGER
The number of columns of the matrix A. NCOLS >= 0.

A

A is COMPLEX array, dimension (LDA,N)
On entry, the N-by-N matrix A.

LDA

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

AF

AF is COMPLEX array, dimension (LDAF,N)
The triangular factor U or L from the Cholesky factorization
A = U**T*U or A = L*L**T, as computed by CPOTRF.

LDAF

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

WORK

WORK is REAL array, dimension (2*N)

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

double precision function dla_porpvgrw (character*1 uplo, integer ncols,double precision, dimension( lda, * ) a, integer lda, double precision,dimension( ldaf, * ) af, integer ldaf, double precision, dimension( * )work)

DLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.

Purpose:

DLA_PORPVGRW computes the reciprocal pivot growth factor
norm(A)/norm(U). The ’max absolute element’ norm is used. If this is
much less than 1, the stability of the LU factorization of the
(equilibrated) matrix A could be poor. This also means that the
solution X, estimated condition numbers, and error bounds could be
unreliable.

Parameters

UPLO

UPLO is CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.

NCOLS

NCOLS is INTEGER
The number of columns of the matrix A. NCOLS >= 0.

A

A is DOUBLE PRECISION array, dimension (LDA,N)
On entry, the N-by-N matrix A.

LDA

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

AF

AF is DOUBLE PRECISION array, dimension (LDAF,N)
The triangular factor U or L from the Cholesky factorization
A = U**T*U or A = L*L**T, as computed by DPOTRF.

LDAF

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

WORK

WORK is DOUBLE PRECISION array, dimension (2*N)

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

real function sla_porpvgrw (character*1 uplo, integer ncols, real,dimension( lda, * ) a, integer lda, real, dimension( ldaf, * ) af,integer ldaf, real, dimension( * ) work)

SLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.

Purpose:

SLA_PORPVGRW computes the reciprocal pivot growth factor
norm(A)/norm(U). The ’max absolute element’ norm is used. If this is
much less than 1, the stability of the LU factorization of the
(equilibrated) matrix A could be poor. This also means that the
solution X, estimated condition numbers, and error bounds could be
unreliable.

Parameters

UPLO

UPLO is CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.

NCOLS

NCOLS is INTEGER
The number of columns of the matrix A. NCOLS >= 0.

A

A is REAL array, dimension (LDA,N)
On entry, the N-by-N matrix A.

LDA

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

AF

AF is REAL array, dimension (LDAF,N)
The triangular factor U or L from the Cholesky factorization
A = U**T*U or A = L*L**T, as computed by SPOTRF.

LDAF

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

WORK

WORK is REAL array, dimension (2*N)

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

double precision function zla_porpvgrw (character*1 uplo, integer ncols,complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(ldaf, * ) af, integer ldaf, double precision, dimension( * ) work)

ZLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.

Purpose:

ZLA_PORPVGRW computes the reciprocal pivot growth factor
norm(A)/norm(U). The ’max absolute element’ norm is used. If this is
much less than 1, the stability of the LU factorization of the
(equilibrated) matrix A could be poor. This also means that the
solution X, estimated condition numbers, and error bounds could be
unreliable.

Parameters

UPLO

UPLO is CHARACTER*1
= ’U’: Upper triangle of A is stored;
= ’L’: Lower triangle of A is stored.

NCOLS

NCOLS is INTEGER
The number of columns of the matrix A. NCOLS >= 0.

A

A is COMPLEX*16 array, dimension (LDA,N)
On entry, the N-by-N matrix A.

LDA

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

AF

AF is COMPLEX*16 array, dimension (LDAF,N)
The triangular factor U or L from the Cholesky factorization
A = U**T*U or A = L*L**T, as computed by ZPOTRF.

LDAF

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

WORK

WORK is DOUBLE PRECISION array, dimension (2*N)

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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