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Basins of attraction for various Steffensen-Type methods

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Basins of attraction for various Steffensen-Type methods

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Cordero Barbero, A.; Soleymani, F.; Torregrosa Sánchez, JR.; Shateyi, S. (2014). Basins of attraction for various Steffensen-Type methods. Journal of Applied Mathematics. 2014. https://doi.org/10.1155/2014/539707

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Título: Basins of attraction for various Steffensen-Type methods
Autor: Cordero Barbero, Alicia Soleymani, Fazlollah Torregrosa Sánchez, Juan Ramón Shateyi, Standford
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
The dynamical behavior of different Steffensen-type methods is analyzed. We check the chaotic behaviors alongside the convergence radii (understood as the wideness of the basin of attraction) needed by Steffensen-type ...[+]
Palabras clave: Derivative-free methods , Iterative methods free , Find simple roots , Nonlinear equations , Dynamics
Derechos de uso: Reconocimiento (by)
Fuente:
Journal of Applied Mathematics. (issn: 1110-757X ) (eissn: 1687-0042 )
DOI: 10.1155/2014/539707
Editorial:
Hindawi Publishing Corporation
Versión del editor: http://dx.doi.org/10.1155/2014/539707
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 are indebted to the referees for some interesting comments and suggestions. This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02.
Tipo: Artículo

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Zheng, Q., Zhao, P., Zhang, L., & Ma, W. (2010). Variants of Steffensen-secant method and applications. Applied Mathematics and Computation, 216(12), 3486-3496. doi:10.1016/j.amc.2010.04.058

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