The "Gauss-Seidelization" of iterative methods for solving nonlinear equations in the complex plane
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Universidad de La Rioja
info
ISSN: 0096-3003
Year of publication: 2011
Volume: 218
Issue: 6
Pages: 2467-2479
Type: Article
More publications in: Applied Mathematics and Computation
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Abstract
In this paper we introduce a process we have called "Gauss- Seidelization" for solving nonlinear equations. We have used this name because the process is inspired by the well-known Gauss-Seidel method to numerically solve a system of linear equations. Together with some convergence results, we present several numerical experiments in order to emphasize how the Gauss-Seidelization process influences on the dynamical behavior of an iterative method for solving nonlinear equations. © 2011 Elsevier Inc. All rights reserved.