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Stability of a fourth-order bi-parametric family of iterative methods

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Stability of a fourth-order bi-parametric family of iterative methods

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Cordero Barbero, A.; García-Maimo, J.; Torregrosa Sánchez, JR.; Vassileva, MP. (2017). Stability of a fourth-order bi-parametric family of iterative methods. Journal of Computational and Applied Mathematics. 312:94-102. https://doi.org/10.1016/j.cam.2016.01.013

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/112085

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Title: Stability of a fourth-order bi-parametric family of iterative methods
Author: Cordero Barbero, Alicia García-Maimo, Javier Torregrosa Sánchez, Juan Ramón Vassileva, Maria P.
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] In this paper we present a dynamical study of the Ostrowski-Chun family of iterative methods on quadratic polynomials. We will use dynamical tools such as the analysis of fixed and critical points, and the calculation ...[+]
Subjects: Nonlinear equations , Iterative methods , Dynamical behavior , Quadratic polynomials , Fatou and Julia sets , Ostrowski-Chun family
Copyrigths: Cerrado
Source:
Journal of Computational and Applied Mathematics. (issn: 0377-0427 )
DOI: 10.1016/j.cam.2016.01.013
Publisher:
Elsevier
Publisher version: http://doi.org/10.1016/j.cam.2016.01.013
Conference name: International Conference Mathematical and Computational Modelling in Science and Technology (ICMCMST 2015)
Conference place: Izmir, Turkey
Conference date: Agosto 02-07,2015
Project ID:
info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./
FONDOCYT/2014-1C1-088
Thanks:
This research was supported by Ministerio de Economía y Competitividad MTM2014-52016-C02-02 and FONDOCYT 2014-1C1-088 República Dominicana
Type: Artículo Comunicación en congreso

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