On some one-point hybrid iterative methods

  1. Ezquerro, J.A. 1
  2. Hernández, M.A. 1
  3. Romero, N. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Nonlinear Analysis

ISSN: 0362-546X

Année de publication: 2010

Volumen: 72

Número: 2

Pages: 587-601

Type: Article

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DOI: 10.1016/J.NA.2009.06.107 SCOPUS: 2-s2.0-71649089959 WoS: WOS:000272915500006 GOOGLE SCHOLAR

D'autres publications dans: Nonlinear Analysis

Objectifs de Développement Durable

Projets liés

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

2009/00009/001

Résumé

When we choose an iterative process for solving a nonlinear equation, the region of accessibility of the iterative process is certainly useful. We know that the higher the order of convergence of the iterative process, the smaller the region of accessibility. In this paper, we present a simple modification of the classic third-order iterative processes, so as to consider, for each of them, the same region of accessibility as that of the Newton method, that is to say a method of order of convergence two. © 2009 Elsevier Ltd. All rights reserved.