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

SLACON(l)					)					SLACON(l)

NAME
       SLACON - estimate the 1-norm of a square, real matrix A

SYNOPSIS
       SUBROUTINE SLACON( N, V, X, ISGN, EST, KASE )

	   INTEGER	  KASE, N

	   REAL 	  EST

	   INTEGER	  ISGN( * )

	   REAL 	  V( * ), X( * )

PURPOSE
       SLACON  estimates the 1-norm of a square, real matrix A. Reverse communication is used for
       evaluating matrix-vector products.

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

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

       X      (input/output) REAL array, dimension (N)
	      On an intermediate return, X should be overwritten by A * X,   if KASE=1, A'  *  X,
	      if KASE=2, and SLACON must be re-called with all the other parameters unchanged.

       ISGN   (workspace) INTEGER array, dimension (N)

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

       KASE   (input/output) INTEGER
	      On  the  initial call to SLACON, 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 SLACON, KASE will again be 0.

FURTHER DETAILS
       Contributed by Nick Higham, University of Manchester.
       Originally named SONEST, 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.

LAPACK version 3.0			   15 June 2000 				SLACON(l)


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