zppcon(3) [debian man page]

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)

Check Out this Related 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)

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zppcon(3) [debian man page]

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