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Chaos and convergence of a family generalizing Homeier's method with damping parameters

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Chaos and convergence of a family generalizing Homeier's method with damping parameters

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Cordero Barbero, A.; Franques, A.; Torregrosa Sánchez, JR. (2016). Chaos and convergence of a family generalizing Homeier's method with damping parameters. Nonlinear Dynamics. 85(3):1939-1954. https://doi.org/10.1007/s11071-016-2807-0

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Título: Chaos and convergence of a family generalizing Homeier's method with damping parameters
Autor: Cordero Barbero, Alicia Franques, Antonio Torregrosa Sánchez, Juan Ramón
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] In this paper, a family of parametric iterative methods for solving nonlinear equations, including Homeier's scheme, is presented. Its local convergence is obtained and the dynamical behavior on quadratic polynomials ...[+]
Palabras clave: Nonlinear equations , Iterative methods , Dynamical behavior , Parameter plane , Convergence regions , Bratu problem
Derechos de uso: Reserva de todos los derechos
Fuente:
Nonlinear Dynamics. (issn: 0924-090X )
DOI: 10.1007/s11071-016-2807-0
Editorial:
Springer-Verlag
Versión del editor: http://doi.org/10.1007/s11071-016-2807-0
Código del Proyecto:
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./
Agradecimientos:
This research was supported by Ministerio de Economia y Competitividad MTM2014-52016-C02-2-P.
Tipo: Artículo

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