zpocon.f

Section: LAPACK (3)
Updated: Tue Nov 14 2017
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NAME

zpocon.f  

SYNOPSIS


 

Functions/Subroutines


subroutine zpocon (UPLO, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO)
ZPOCON  

Function/Subroutine Documentation

 

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
          = '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*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.

Date:

December 2016

Definition at line 123 of file zpocon.f.  

Author

Generated automatically by Doxygen for LAPACK from the source code.

 

Index

NAME
SYNOPSIS
Functions/Subroutines
Function/Subroutine Documentation
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