sspcon.f(3) [debian man page]

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)

Check Out this Related 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)

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