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RedHat 9 (Linux i386) - man page for cppcon (redhat section l)

CPPCON(l)					)					CPPCON(l)

NAME
       CPPCON - estimate the reciprocal of the condition number (in the 1-norm) of a complex Her-
       mitian positive definite packed matrix using the Cholesky factorization A = U**H*U or A	=
       L*L**H computed by CPPTRF

SYNOPSIS
       SUBROUTINE CPPCON( UPLO, N, AP, ANORM, RCOND, WORK, RWORK, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, N

	   REAL 	  ANORM, RCOND

	   REAL 	  RWORK( * )

	   COMPLEX	  AP( * ), WORK( * )

PURPOSE
       CPPCON  estimates the reciprocal of the condition number (in the 1-norm) of a complex Her-
       mitian positive definite packed matrix using the Cholesky factorization A = U**H*U or A	=
       L*L**H  computed  by CPPTRF.  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.

       AP      (input) COMPLEX array, dimension (N*(N+1)/2)
	       The triangular factor U or L from the Cholesky factorization A =  U**H*U  or  A	=
	       L*L**H,	packed columnwise in a linear array.  The j-th column of U or L is stored
	       in the array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
	       if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=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, computed as RCOND =
	       1/(ANORM * AINVNM), where AINVNM is an estimate 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 				CPPCON(l)


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