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DSPCON(1)		 LAPACK routine (version 3.2)		     DSPCON(1)

NAME
       DSPCON  -  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 DSPTRF

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

	   CHARACTER	  UPLO

	   INTEGER	  INFO, N

	   DOUBLE	  PRECISION ANORM, RCOND

	   INTEGER	  IPIV( * ), IWORK( * )

	   DOUBLE	  PRECISION AP( * ), WORK( * )

PURPOSE
       DSPCON 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 DSPTRF.  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 triangu‐
	       lar, 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) DOUBLE PRECISION 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 DSPTRF,	 stored	 as  a	packed
	       triangular matrix.

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

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

       RCOND   (output) DOUBLE PRECISION
	       The reciprocal of the condition number of the  matrix  A,  com‐
	       puted  as  RCOND = 1/(ANORM * AINVNM), where AINVNM is an esti‐
	       mate of the 1-norm of inv(A) computed in this routine.

       WORK    (workspace) DOUBLE PRECISION 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 routine (version 3.2)	 November 2008			     DSPCON(1)
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