Man page - la_gerpvgrw(3)

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Manual

la_gerpvgrw

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
real function cla_gerpvgrw (integer n, integer ncols, complex, dimension(lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integerldaf)
double precision function dla_gerpvgrw (integer n, integer ncols, doubleprecision, dimension( lda, * ) a, integer lda, double precision,dimension( ldaf, * ) af, integer ldaf)
real function sla_gerpvgrw (integer n, integer ncols, real, dimension( lda,* ) a, integer lda, real, dimension( ldaf, * ) af, integer ldaf)
double precision function zla_gerpvgrw (integer n, integer ncols,complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(ldaf, * ) af, integer ldaf)
Author

NAME

la_gerpvgrw - la_gerpvgrw: reciprocal pivot growth

SYNOPSIS

Functions

real function cla_gerpvgrw (n, ncols, a, lda, af, ldaf)
CLA_GERPVGRW multiplies a square real matrix by a complex matrix.
double precision function dla_gerpvgrw (n, ncols, a, lda, af, ldaf)
DLA_GERPVGRW
real function sla_gerpvgrw (n, ncols, a, lda, af, ldaf)
SLA_GERPVGRW
double precision function zla_gerpvgrw (n, ncols, a, lda, af, ldaf)
ZLA_GERPVGRW multiplies a square real matrix by a complex matrix.

Detailed Description

Function Documentation

real function cla_gerpvgrw (integer n, integer ncols, complex, dimension(lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integerldaf)

CLA_GERPVGRW multiplies a square real matrix by a complex matrix.

Purpose:

CLA_GERPVGRW 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

N

N is INTEGER
The number of linear equations, i.e., the order of the
matrix A. N >= 0.

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 factors L and U from the factorization
A = P*L*U as computed by CGETRF.

LDAF

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

double precision function dla_gerpvgrw (integer n, integer ncols, doubleprecision, dimension( lda, * ) a, integer lda, double precision,dimension( ldaf, * ) af, integer ldaf)

DLA_GERPVGRW

Purpose:

DLA_GERPVGRW 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

N

N is INTEGER
The number of linear equations, i.e., the order of the
matrix A. N >= 0.

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 factors L and U from the factorization
A = P*L*U as computed by DGETRF.

LDAF

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

real function sla_gerpvgrw (integer n, integer ncols, real, dimension( lda,* ) a, integer lda, real, dimension( ldaf, * ) af, integer ldaf)

SLA_GERPVGRW

Purpose:

SLA_GERPVGRW 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

N

N is INTEGER
The number of linear equations, i.e., the order of the
matrix A. N >= 0.

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 factors L and U from the factorization
A = P*L*U as computed by SGETRF.

LDAF

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

double precision function zla_gerpvgrw (integer n, integer ncols,complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(ldaf, * ) af, integer ldaf)

ZLA_GERPVGRW multiplies a square real matrix by a complex matrix.

Purpose:

ZLA_GERPVGRW 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

N

N is INTEGER
The number of linear equations, i.e., the order of the
matrix A. N >= 0.

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 factors L and U from the factorization
A = P*L*U as computed by ZGETRF.

LDAF

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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