clacon.c File Reference

Estimates the 1-norm. More...

#include <math.h>
#include "slu_Cnames.h"
#include "slu_scomplex.h"

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Functions
int	clacon_ (int *n, complex *v, complex *x, float *est, int *kase)

Detailed Description

Copyright (c) 2003, The Regents of the University of California, through Lawrence Berkeley National Laboratory (subject to receipt of any required approvals from U.S. Dept. of Energy)

All rights reserved.

The source code is distributed under BSD license, see the file License.txt at the top-level directory.

– SuperLU routine (version 2.0) –
Univ. of California Berkeley, Xerox Palo Alto Research Center,
and Lawrence Berkeley National Lab.
November 15, 1997

Function Documentation

int clacon_	(	int *	n,
		complex *	v,
		complex *	x,
		float *	est,
		int *	kase
	)

Purpose   

  CLACON estimates the 1-norm of a square matrix A.   
  Reverse communication is used for evaluating matrix-vector products.

Arguments   

  N      (input) INT
         The order of the matrix.  N >= 1.

  V      (workspace) COMPLEX PRECISION array, dimension (N)   
         On the final return, V = A*W,  where  EST = norm(V)/norm(W)   
         (W is not returned).

  X      (input/output) COMPLEX PRECISION array, dimension (N)   
         On an intermediate return, X should be overwritten by   
               A * X,   if KASE=1,   
               A' * X,  if KASE=2,
         where A' is the conjugate transpose of A,
        and CLACON must be re-called with all the other parameters   
         unchanged.

  EST    (output) FLOAT PRECISION   
         An estimate (a lower bound) for norm(A).

  KASE   (input/output) INT
         On the initial call to CLACON, KASE should be 0.   
         On an intermediate return, KASE will be 1 or 2, indicating   
         whether X should be overwritten by A * X  or A' * X.   
         On the final return from CLACON, KASE will again be 0.

  Further Details   
  ======= =======

  Contributed by Nick Higham, University of Manchester.   
  Originally named CONEST, dated March 16, 1988.

  Reference: N.J. Higham, "FORTRAN codes for estimating the one-norm of 
  a real or complex matrix, with applications to condition estimation", 

ACM Trans. Math. Soft., vol. 14, no. 4, pp. 381-396, December 1988.   

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