The "Gauss-Seidelization" of iterative methods for solving nonlinear equations in the complex plane
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...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2011 |
| País: | España |
| Recursos: | Universidad de La Rioja (UR) |
| Repositório: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc683bb750603269e80510 |
| Acesso em linha: | https://investigacion.unirioja.es/documentos/5bbc683bb750603269e80510 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Box-counting dimension Fractals Iterative methods Nonlinear equations |
| Resumo: | 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. |
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