Dynamics of a higher-order family of iterative methods

  1. Honorato, G. 1
  2. Plaza, S. 1
  3. Romero, N. 2
  1. 1 Universidad de Santiago de Chile
    info

    Universidad de Santiago de Chile

    Santiago de Chile, Chile

    ROR https://ror.org/02ma57s91

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Journal of Complexity

ISSN: 0885-064X

Année de publication: 2011

Volumen: 27

Número: 2

Pages: 221-229

Type: Article

DOI: 10.1016/J.JCO.2010.10.005 SCOPUS: 2-s2.0-79952454846 GOOGLE SCHOLAR

D'autres publications dans: Journal of Complexity

Dépôt institutionnel: lock_openAccès ouvert Editor

Projets liés

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

2009/00009/001

Résumé

We study the dynamics of a higher-order family of iterative methods for solving non-linear equations. We show that these iterative root-finding methods are generally convergent when extracting radicals. We examine the Julia sets of these methods with particular polynomials. The examination takes place in the complex plane. © 2010 Elsevier Inc. All rights reserved.