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Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family

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Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family

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Campos, B.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vindel Cañas, P. (2016). Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family. Numerical Algorithms. 73(1):141-156. https://doi.org/10.1007/s11075-015-0089-0

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Título: Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family
Autor: Campos, Beatriz Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón Vindel Cañas, Purificación
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] The study of the dynamical behaviour of the operators defined by iterative methods help us to know more deeply the regions where these methods have a good performance. In this paper, we follow the dynamical study of ...[+]
Palabras clave: Iterative methods , Complex dynamics , Chebyshev-Halley's family , 2-periodic orbits , 2-bulbs
Derechos de uso: Reserva de todos los derechos
Fuente:
Numerical Algorithms. (issn: 1017-1398 )
DOI: 10.1007/s11075-015-0089-0
Editorial:
Springer-Verlag
Versión del editor: http://doi.org/10.1007/s11075-015-0089-0
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 partially supported by Ministerio de Econom´ı a y Competitividad MTM2014-52016-C02-2-P
Tipo: Artículo

References

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Behl, R., Kanwar, V.: Variants of Chebyshev’s method with optimal order of convergence. Tamsui Oxf. J. Inf. Math. Sci. 29(1), 39–53 (2013)

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