zppcon(l) [redhat man page]

ZPPCON(l)								 )								 ZPPCON(l)

NAME

       ZPPCON  -  estimate the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite packed matrix using the
       Cholesky factorization A = U**H*U or A = L*L**H computed by ZPPTRF

SYNOPSIS

       SUBROUTINE ZPPCON( UPLO, N, AP, ANORM, RCOND, WORK, RWORK, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, N

	   DOUBLE	  PRECISION ANORM, RCOND

	   DOUBLE	  PRECISION RWORK( * )

	   COMPLEX*16	  AP( * ), WORK( * )

PURPOSE

       ZPPCON estimates the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite packed	matrix	using  the
       Cholesky  factorization	A  = U**H*U or A = L*L**H computed by ZPPTRF.  An estimate is obtained for norm(inv(A)), and the reciprocal of the
       condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

ARGUMENTS

       UPLO    (input) CHARACTER*1
	       = 'U':  Upper triangle of A is stored;
	       = 'L':  Lower triangle of A is stored.

       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.

       AP      (input) COMPLEX*16 array, dimension (N*(N+1)/2)
	       The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, packed columnwise in a linear array.  The j-
	       th  column  of  U  or L is stored in the array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j; if UPLO = 'L',
	       AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.

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

       RCOND   (output) 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    (workspace) COMPLEX*16 array, dimension (2*N)

       RWORK   (workspace) DOUBLE PRECISION array, dimension (N)

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

LAPACK version 3.0						   15 June 2000 							 ZPPCON(l)

zppcon.f(3)							      LAPACK							       zppcon.f(3)

NAME

       zppcon.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zppcon (UPLO, N, AP, ANORM, RCOND, WORK, RWORK, INFO)
	   ZPPCON

Function/Subroutine Documentation
   subroutine zppcon (characterUPLO, integerN, complex*16, dimension( * )AP, double precisionANORM, double precisionRCOND, complex*16, dimension(
       * )WORK, double precision, dimension( * )RWORK, integerINFO)
       ZPPCON

       Purpose:

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

	    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.

	   AP

		     AP is COMPLEX*16 array, dimension (N*(N+1)/2)
		     The triangular factor U or L from the Cholesky factorization
		     A = U**H*U or A = L*L**H, packed columnwise in a linear
		     array.  The j-th column of U or L is stored in the array AP
		     as follows:
		     if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
		     if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=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:
	   November 2011

       Definition at line 119 of file zppcon.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013						       zppcon.f(3)