Man page - pocon(3)

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Manual

pocon

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine cpocon (character uplo, integer n, complex, dimension( lda, * )a, integer lda, real anorm, real rcond, complex, dimension( * ) work,real, dimension( * ) rwork, integer info)
subroutine dpocon (character uplo, integer n, double precision, dimension(lda, * ) a, integer lda, double precision anorm, double precisionrcond, double precision, dimension( * ) work, integer, dimension( * )iwork, integer info)
subroutine spocon (character uplo, integer n, real, dimension( lda, * ) a,integer lda, real anorm, real rcond, real, dimension( * ) work,integer, dimension( * ) iwork, integer info)
subroutine zpocon (character uplo, integer n, complex*16, dimension( lda, *) a, integer lda, double precision anorm, double precision rcond,complex*16, dimension( * ) work, double precision, dimension( * )rwork, integer info)
Author

NAME

pocon - pocon: condition number estimate

SYNOPSIS

Functions

subroutine cpocon (uplo, n, a, lda, anorm, rcond, work, rwork, info)
CPOCON
subroutine dpocon (uplo, n, a, lda, anorm, rcond, work, iwork, info)
DPOCON
subroutine spocon (uplo, n, a, lda, anorm, rcond, work, iwork, info)
SPOCON
subroutine zpocon (uplo, n, a, lda, anorm, rcond, work, rwork, info)
ZPOCON

Detailed Description

Function Documentation

subroutine cpocon (character uplo, integer n, complex, dimension( lda, * )a, integer lda, real anorm, real rcond, complex, dimension( * ) work,real, dimension( * ) rwork, integer info)

CPOCON

Purpose:

CPOCON estimates the reciprocal of the condition number (in the
1-norm) of a complex Hermitian positive definite matrix using the
Cholesky factorization A = U**H*U or A = L*L**H computed by CPOTRF.

An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangle of A is stored;
= ā€™Lā€™: Lower triangle of A is stored.

N

N is INTEGER
The order of the matrix A. N >= 0.

A

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

LDA

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

ANORM

ANORM is REAL
The 1-norm (or infinity-norm) of the Hermitian matrix A.

RCOND

RCOND is REAL
The reciprocal of the condition number of the matrix A,
computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
estimate of the 1-norm of inv(A) computed in this routine.

WORK

WORK is COMPLEX array, dimension (2*N)

RWORK

RWORK is REAL array, dimension (N)

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine dpocon (character uplo, integer n, double precision, dimension(lda, * ) a, integer lda, double precision anorm, double precisionrcond, double precision, dimension( * ) work, integer, dimension( * )iwork, integer info)

DPOCON

Purpose:

DPOCON estimates the reciprocal of the condition number (in the
1-norm) of a real symmetric positive definite matrix using the
Cholesky factorization A = U**T*U or A = L*L**T computed by DPOTRF.

An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangle of A is stored;
= ā€™Lā€™: Lower triangle of A is stored.

N

N is INTEGER
The order of the matrix A. N >= 0.

A

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

LDA

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

ANORM

ANORM is DOUBLE PRECISION
The 1-norm (or infinity-norm) of the symmetric matrix A.

RCOND

RCOND is DOUBLE PRECISION
The reciprocal of the condition number of the matrix A,
computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
estimate of the 1-norm of inv(A) computed in this routine.

WORK

WORK is DOUBLE PRECISION array, dimension (3*N)

IWORK

IWORK is INTEGER array, dimension (N)

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine spocon (character uplo, integer n, real, dimension( lda, * ) a,integer lda, real anorm, real rcond, real, dimension( * ) work,integer, dimension( * ) iwork, integer info)

SPOCON

Purpose:

SPOCON estimates the reciprocal of the condition number (in the
1-norm) of a real symmetric positive definite matrix using the
Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF.

An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangle of A is stored;
= ā€™Lā€™: Lower triangle of A is stored.

N

N is INTEGER
The order of the matrix A. N >= 0.

A

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

LDA

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

ANORM

ANORM is REAL
The 1-norm (or infinity-norm) of the symmetric matrix A.

RCOND

RCOND is REAL
The reciprocal of the condition number of the matrix A,
computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
estimate of the 1-norm of inv(A) computed in this routine.

WORK

WORK is REAL array, dimension (3*N)

IWORK

IWORK is INTEGER array, dimension (N)

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine zpocon (character uplo, integer n, complex*16, dimension( lda, *) a, integer lda, double precision anorm, double precision rcond,complex*16, dimension( * ) work, double precision, dimension( * )rwork, integer info)

ZPOCON

Purpose:

ZPOCON estimates the reciprocal of the condition number (in the
1-norm) of a complex Hermitian positive definite matrix using the
Cholesky factorization A = U**H*U or A = L*L**H computed by ZPOTRF.

An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

Parameters

UPLO

UPLO is CHARACTER*1
= ā€™Uā€™: Upper triangle of A is stored;
= ā€™Lā€™: Lower triangle of A is stored.

N

N is INTEGER
The order of the matrix A. N >= 0.

A

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

LDA

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

ANORM

ANORM is DOUBLE PRECISION
The 1-norm (or infinity-norm) of the Hermitian matrix A.

RCOND

RCOND is DOUBLE PRECISION
The reciprocal of the condition number of the matrix A,
computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
estimate of the 1-norm of inv(A) computed in this routine.

WORK

WORK is COMPLEX*16 array, dimension (2*N)

RWORK

RWORK is DOUBLE PRECISION array, dimension (N)

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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