clacon(3)

NAME

CLACON - estimate the 1-norm of a square, complex matrix A

SYNOPSIS

SUBROUTINE CLACON( N, V, X, EST, KASE )
    INTEGER        KASE, N
    REAL           EST
    COMPLEX        V( N ), X( N )

PURPOSE

CLACON estimates the 1-norm of a square, complex matrix A.

Reverse communication is used for evaluating matrix-vector prod

ucts.

ARGUMENTS

N (input) INTEGER

The order of the matrix. N >= 1.

V (workspace) COMPLEX array, dimension (N)

On the final return, V = A*W, where EST =

norm(V)/norm(W) (W is not returned).

X (input/output) COMPLEX 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 conju

gate transpose of A, and CLACON must be re-called with all the

other parameters unchanged.

EST (output) REAL

An estimate (a lower bound) for norm(A).

KASE (input/output) INTEGER

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 fi

nal 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 condi

tion estimation", ACM Trans. Math. Soft., vol. 14, no. 4, pp.

381-396, December 1988.

Last modified: April, 1999

LAPACK version 3.0 15 June 2000

CLACON(3)