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Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods

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Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods

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Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vindel, P. (2019). Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods. Mathematical Modelling and Analysis. 24(3):335-350. https://doi.org/10.3846/mma.2019.021

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Título: Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods
Autor: Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón Vindel, Pura
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] In this paper, we study the dynamics of an iterative method based on the Ermakov-Kalitkin class of iterative schemes for solving nonlinear equations. As it was proven in "A new family of iterative methods widening ...[+]
Palabras clave: Nonlinear problems , Iterative methods , Complex dynamics , Dynamical and parameter planes , Critical points
Derechos de uso: Reconocimiento (by)
Fuente:
Mathematical Modelling and Analysis. (issn: 1392-6292 )
DOI: 10.3846/mma.2019.021
Editorial:
Vilnius Gediminas Technical University
Versión del editor: https://doi.org/10.3846/mma.2019.021
Código del Proyecto:
info:eu-repo/grantAgreement/UJI//P1.1B20115-16/
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./
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/
Agradecimientos:
This research was supported by Spanish Ministry grant MTM2014-52016-C02-2-P, Generalitat Valenciana PROMETEO/2016/089 and UJI project P1.1B20115-16. The authors also want to thank the anonymous referees for their suggestions ...[+]
Tipo: Artículo

References

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Beardon, A. F. (Ed.). (1991). Iteration of Rational Functions. Graduate Texts in Mathematics. doi:10.1007/978-1-4612-4422-6

Blanchard, P. (1984). Complex analytic dynamics on the Riemann sphere. Bulletin of the American Mathematical Society, 11(1), 85-142. doi:10.1090/s0273-0979-1984-15240-6

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