cpocon.f (3) Linux Manual Page

cpocon.f –

Synopsis

Functions/Subroutines

subroutine cpocon (UPLO, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO)
CPOCON

Function/Subroutine Documentation

subroutine cpocon (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, realANORM, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)

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

 = ‘U’: Upper triangle of A is stored;

 = ‘L’: 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.

Date:

November 2011

Definition at line 121 of file cpocon.f.

Author

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