An Ulm-type method with R-order of convergence three

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

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Nonlinear Analysis: Real World Applications

ISSN: 1468-1218

Année de publication: 2012

Volumen: 13

Número: 1

Pages: 14-26

Type: Article

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DOI: 10.1016/J.NONRWA.2011.07.039 SCOPUS: 2-s2.0-80052813623 WoS: WOS:000295954500002 GOOGLE SCHOLAR

D'autres publications dans: Nonlinear Analysis: Real World Applications

Projets liés

Procesos iteratios para resolver ecuaciones no lineales: construcción, convergencia, eficacia, análisis dinámico y aplicaciones

2012/00014/001

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

2009/00009/001

Résumé

A new iterative method of third-order of convergence is constructed with the interesting feature that the calculation of inverse operators is not needed if the inverse of an operator is approximated. The semilocal convergence of the method is studied under classical Kantorovich-type conditions for iterative methods of second-order. Some applications are given, where the most important features of the method are shown. © 2011 Elsevier Ltd. All rights reserved.