sspcon(l) [redhat man page]

SSPCON(l)								 )								 SSPCON(l)

NAME

       SSPCON  -  estimate  the reciprocal of the condition number (in the 1-norm) of a real symmetric packed matrix A using the factorization A =
       U*D*U**T or A = L*D*L**T computed by SSPTRF

SYNOPSIS

       SUBROUTINE SSPCON( UPLO, N, AP, IPIV, ANORM, RCOND, WORK, IWORK, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, N

	   REAL 	  ANORM, RCOND

	   INTEGER	  IPIV( * ), IWORK( * )

	   REAL 	  AP( * ), WORK( * )

PURPOSE

       SSPCON estimates the reciprocal of the condition number (in the 1-norm) of a real symmetric packed matrix A using  the  factorization  A  =
       U*D*U**T  or A = L*D*L**T computed by SSPTRF.  An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is com-
       puted as RCOND = 1 / (ANORM * norm(inv(A))).

ARGUMENTS

       UPLO    (input) CHARACTER*1
	       Specifies whether the details of the factorization are stored as an upper or lower triangular matrix.  =  'U':	Upper  triangular,
	       form is A = U*D*U**T;
	       = 'L':  Lower triangular, form is A = L*D*L**T.

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

       AP      (input) REAL array, dimension (N*(N+1)/2)
	       The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by SSPTRF, stored as a packed triangu-
	       lar matrix.

       IPIV    (input) INTEGER array, dimension (N)
	       Details of the interchanges and the block structure of D as determined by SSPTRF.

       ANORM   (input) REAL
	       The 1-norm of the original matrix A.

       RCOND   (output) 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    (workspace) REAL array, dimension (2*N)

       IWORK	(workspace) INTEGER 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 							 SSPCON(l)

sspcon.f(3)							      LAPACK							       sspcon.f(3)

NAME

       sspcon.f -

SYNOPSIS

   Functions/Subroutines
       subroutine sspcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, IWORK, INFO)
	   SSPCON

Function/Subroutine Documentation
   subroutine sspcon (characterUPLO, integerN, real, dimension( * )AP, integer, dimension( * )IPIV, realANORM, realRCOND, real, dimension( *
       )WORK, integer, dimension( * )IWORK, integerINFO)
       SSPCON

       Purpose:

	    SSPCON estimates the reciprocal of the condition number (in the
	    1-norm) of a real symmetric packed matrix A using the factorization
	    A = U*D*U**T or A = L*D*L**T computed by SSPTRF.

	    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
		     Specifies whether the details of the factorization are stored
		     as an upper or lower triangular matrix.
		     = 'U':  Upper triangular, form is A = U*D*U**T;
		     = 'L':  Lower triangular, form is A = L*D*L**T.

	   N

		     N is INTEGER
		     The order of the matrix A.  N >= 0.

	   AP

		     AP is REAL array, dimension (N*(N+1)/2)
		     The block diagonal matrix D and the multipliers used to
		     obtain the factor U or L as computed by SSPTRF, stored as a
		     packed triangular matrix.

	   IPIV

		     IPIV is INTEGER array, dimension (N)
		     Details of the interchanges and the block structure of D
		     as determined by SSPTRF.

	   ANORM

		     ANORM is REAL
		     The 1-norm of the original 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 REAL array, dimension (2*N)

	   IWORK

		     IWORK is INTEGER 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 125 of file sspcon.f.

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

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