The "Gauss-Seidelization" of iterative methods for solving nonlinear equations in the complex plane

  1. Gutiérrez, J.M. 1
  2. Magreñán, A.A. 1
  3. Varona, J.L. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Applied Mathematics and Computation

ISSN: 0096-3003

Datum der Publikation: 2011

Ausgabe: 218

Nummer: 6

Seiten: 2467-2479

Art: Artikel

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DOI: 10.1016/J.AMC.2011.07.061 SCOPUS: 2-s2.0-80053241895 WoS: WOS:000296278800010 GOOGLE SCHOLAR lock_openOpen Access editor

Andere Publikationen in: Applied Mathematics and Computation

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Projekte im Zusammenhang

Ortogonalidad, Teoría de la Aproximación y sus aplicaciones en Ciencia y Tecnología

2009/00206/001

Regiones de accesibilidad y optimización de procesos iterativos para resolver ecuaciones no lineales. Aplicaciones

2009/00009/001

Zusammenfassung

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.