spocon(l) [redhat man page]

SPOCON(l)								 )								 SPOCON(l)

NAME

       SPOCON  -  estimate  the reciprocal of the condition number (in the 1-norm) of a real symmetric positive definite matrix using the Cholesky
       factorization A = U**T*U or A = L*L**T computed by SPOTRF

SYNOPSIS

       SUBROUTINE SPOCON( UPLO, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, LDA, N

	   REAL 	  ANORM, RCOND

	   INTEGER	  IWORK( * )

	   REAL 	  A( LDA, * ), WORK( * )

PURPOSE

       SPOCON estimates the reciprocal of the condition number (in the 1-norm) of a real symmetric positive definite  matrix  using  the  Cholesky
       factorization  A  = U**T*U or A = L*L**T computed by SPOTRF.  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.

       A       (input) REAL array, dimension (LDA,N)
	       The triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T, as computed by SPOTRF.

       LDA     (input) INTEGER
	       The leading dimension of the array A.  LDA >= max(1,N).

       ANORM   (input) REAL
	       The 1-norm (or infinity-norm) of the symmetric 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 (3*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 							 SPOCON(l)

spocon.f(3)							      LAPACK							       spocon.f(3)

NAME

       spocon.f -

SYNOPSIS

   Functions/Subroutines
       subroutine spocon (UPLO, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO)
	   SPOCON

Function/Subroutine Documentation
   subroutine spocon (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, realANORM, realRCOND, real, dimension( * )WORK, integer,
       dimension( * )IWORK, integerINFO)
       SPOCON

       Purpose:

	    SPOCON estimates the reciprocal of the condition number (in the
	    1-norm) of a real symmetric positive definite matrix using the
	    Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF.

	    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 REAL array, dimension (LDA,N)
		     The triangular factor U or L from the Cholesky factorization
		     A = U**T*U or A = L*L**T, as computed by SPOTRF.

	   LDA

		     LDA is INTEGER
		     The leading dimension of the array A.  LDA >= max(1,N).

	   ANORM

		     ANORM is REAL
		     The 1-norm (or infinity-norm) of the symmetric 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 (3*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 121 of file spocon.f.

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

Version 3.4.2							  Tue Sep 25 2012						       spocon.f(3)