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

Revista:
Nonlinear Analysis

ISSN: 0362-546X

Any de publicació: 2010

Volum: 72

Número: 2

Pàgines: 587-601

Tipus: Article

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

Altres publicacions en: Nonlinear Analysis

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

2009/00009/001

Resum

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.