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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. https://doi.org/10.1080/00207160.2012.748900

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Título: Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods
Autor: Artidiello Moreno, Santiago de Jesús Chicharro López, Francisco Israel Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón
Entidad UPV: 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
Fecha difusión:
Resumen:
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 ...[+]
Palabras clave: Iterative methods , Order of convergence , Rational map , Basin of attraction , Conjugacy classes
Derechos de uso: Cerrado
Fuente:
International Journal of Computer Mathematics. (issn: 0020-7160 ) (eissn: 1029-0265 )
DOI: 10.1080/00207160.2012.748900
Editorial:
Taylor & Francis Ltd
Versión del editor: http://dx.doi.org/10.1080/00207160.2012.748900
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-02/ES/DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES/
Agradecimientos:
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 ...[+]
Tipo: Artículo

References

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Blanchard, P. (1995). The dynamics of Newton’s method. Proceedings of Symposia in Applied Mathematics, 139-154. doi:10.1090/psapm/049/1315536

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