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Dynamics of a multipoint variant of Chebyshev-Halley's family

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Dynamics of a multipoint variant of Chebyshev-Halley's family

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Campos, B.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vindel, P. (2016). Dynamics of a multipoint variant of Chebyshev-Halley's family. Applied Mathematics and Computation. 284:195-208. https://doi.org/10.1016/j.amc.2016.03.009

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/82758

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Title: Dynamics of a multipoint variant of Chebyshev-Halley's family
Author: Campos, Beatriz Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón Vindel, Pura
UPV Unit: Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació
Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària
Issued date:
Abstract:
In this paper, a complex dynamical study of a parametric Chebyshev-Halley type family of iterative methods on quadratic polynomial is presented. The stability of the fixed points is analyzed in terms of the parameter of ...[+]
Subjects: Iterative methods , Complex dynamics , Chebyshev–Halley’s family , Bifurcations
Copyrigths: Reserva de todos los derechos
Source:
Applied Mathematics and Computation. (issn: 0096-3003 )
DOI: 10.1016/j.amc.2016.03.009
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.amc.2016.03.009
Project ID:
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/
Thanks:
The authors thank to the anonymous referees for their suggestions to improve the readability of the paper. This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C02-2-P.
Type: Artículo

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