cpocon-f(3)

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

Generated automatically by Doxygen for LAPACK from the source code.