Title

Solvers for Systems of Nonlinear Algebraic Equations - Their Sensitivity to Starting Vectors

Document Type

Article

Publication Date

2001

Department

Mathematics

Abstract

In this note we compare the sensitivity of six advanced solvers for systems of nonlinear algebraic equations to the choice of starting vectors. We will report on results of our experiments in which, for each test problem, the calculated solution was used as the center from which we have moved away in various directions and observed the behavior of each solver attempting to find the solution. We are particularly interested in determining the best global starting vectors. Experimental results are presented and discussed.

Publication Title

Numerical Analysis and Its Applications

Volume

1988

First Page

230

Last Page

237