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

CSPCON(l)					)					CSPCON(l)

NAME
       CSPCON - estimate the reciprocal of the condition number (in the 1-norm) of a complex sym-
       metric 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 sym-
       metric 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 computed 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 triangular, 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,  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)

       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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