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CSPCON(l)			       )			     CSPCON(l)

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

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

	   CHARACTER	  UPLO

	   INTEGER	  INFO, N

	   REAL		  ANORM, RCOND

	   INTEGER	  IPIV( * )

	   COMPLEX	  AP( * ), WORK( * )

PURPOSE
       CSPCON estimates the reciprocal of the condition number (in the 1-norm)
       of a complex symmetric packed matrix A  using  the  factorization  A  =
       U*D*U**T	 or  A = L*D*L**T computed by CSPTRF.  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) COMPLEX 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 CSPTRF,	 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 CSPTRF.

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

       RCOND   (output) REAL
	       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) COMPLEX array, dimension (2*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			     CSPCON(l)
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