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CPOCON(l)			       )			     CPOCON(l)

NAME
       CPOCON  -  estimate  the	 reciprocal  of	 the  condition number (in the
       1-norm) of a complex  Hermitian	positive  definite  matrix  using  the
       Cholesky factorization A = U**H*U or A = L*L**H computed by CPOTRF

SYNOPSIS
       SUBROUTINE CPOCON( UPLO, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, LDA, N

	   REAL		  ANORM, RCOND

	   REAL		  RWORK( * )

	   COMPLEX	  A( LDA, * ), WORK( * )

PURPOSE
       CPOCON estimates the reciprocal of the condition number (in the 1-norm)
       of a complex Hermitian positive definite matrix using the Cholesky fac‐
       torization A = U**H*U or A = L*L**H computed by CPOTRF.	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) COMPLEX array, dimension (LDA,N)
	       The  triangular factor U or L from the Cholesky factorization A
	       = U**H*U or A = L*L**H, as computed by CPOTRF.

       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 Hermitian 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)

       RWORK   (workspace) REAL 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			     CPOCON(l)
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