SYMPOSIUM MINISYMPOSIA

ABSTRACT

Solution of systems of nonlinear algebraic equations is a relatively complicated problem for which a number of different approaches has been proposed. The problem becomes even more complex as the number of equations increases. The aim of the presentation is to attempt at a comparison between some of them when applied to a number of test problems.

We will pursue our comparisons with two goals in mind. First, to establish the quality of particular approaches when applied to a large number of test problems. We will be interested in the speed of convergence, as well as the considerations concerning the starting vector. Second, we will use the experimental data to investigate the usefulness of particular standard test problems. These problems have been used by various authors to study the performance of their nonlinear solvers and have been collected from a number of papers and from the Internet. In this case our ultimate goal is a development of a unified library of test problems to be used when new methods for the solution of nonlinear systems are proposed.

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