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Study of the dynamics of third-order iterative methods on quadratic polynomials

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Study of the dynamics of third-order iterative methods on quadratic polynomials

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Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vindel Cañas, P. (2012). Study of the dynamics of third-order iterative methods on quadratic polynomials. International Journal of Computer Mathematics. 89(13):1826-1836. https://doi.org/10.1080/00207160.2012.687446

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Metadatos del ítem

Título: Study of the dynamics of third-order iterative methods on quadratic polynomials
Autor: Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón Vindel Cañas, Pura
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
In this paper, we analyse the dynamical behaviour of the operators associated with multi-point interpolation iterative methods and frozen derivative methods, for solving nonlinear equations, applied on second-degree complex ...[+]
Palabras clave: Nonlinear equations , Iterative methods , Complex dynamics , Conjugacy map , Basin of attraction
Derechos de uso: Reserva de todos los derechos
Fuente:
International Journal of Computer Mathematics. (issn: 0020-7160 ) (eissn: 1029-0265 )
DOI: 10.1080/00207160.2012.687446
Editorial:
Taylor & Francis Ltd
Versión del editor: http://dx.doi.org/10.1080/00207160.2012.687446
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/
info:eu-repo/grantAgreement/UPV//PAID-06-2010-2285/
Agradecimientos:
The authors thank Professors X. Jarque and A. Garijo for their help. The authors also thank the referees for their valuable comments and suggestions that have improved the content of this paper. This research was supported ...[+]
Tipo: Artículo

References

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Amat, S., Busquier, S., & Plaza, S. (2006). A construction of attracting periodic orbits for some classical third-order iterative methods. Journal of Computational and Applied Mathematics, 189(1-2), 22-33. doi:10.1016/j.cam.2005.03.049

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