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Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods

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Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods

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Artidiello Moreno, SDJ.; Chicharro López, FI.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2013). Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods. International Journal of Computer Mathematics. 90(10):2049-2060. doi:10.1080/00207160.2012.748900

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/56765

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Title: Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods
Author:
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Telecomunicación y Aplicaciones Multimedia - Institut Universitari de Telecomunicacions i Aplicacions Multimèdia
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
In this paper, a family of new fourth-order optimal iterative methods for solving nonlinear equations is proposed. The classical King s family of fourth-order schemes is obtained as an special case. We also present results ...[+]
Subjects: Iterative methods , Order of convergence , Rational map , Basin of attraction , Conjugacy classes
Copyrigths: Cerrado
Source:
International Journal of Computer Mathematics. (issn: 0020-7160 ) (eissn: 1029-0265 )
DOI: 10.1080/00207160.2012.748900
Publisher:
Taylor & Francis Ltd
Publisher version: http://dx.doi.org/10.1080/00207160.2012.748900
Thanks:
The authors thank the referees for their valuable comments and for their suggestions to improve the readability of the paper. This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and ...[+]
Type: Artículo

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