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Three-step iterative methods with optimal eighth-order convergence

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Three-step iterative methods with optimal eighth-order convergence

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Cordero Barbero, A.; Torregrosa Sánchez, JR.; Penkova Vassileva, M. (2011). Three-step iterative methods with optimal eighth-order convergence. Journal of Computational and Applied Mathematics. 235(10):3189-3194. https://doi.org/10.1016/j.cam.2011.01.004

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/56019

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Title: Three-step iterative methods with optimal eighth-order convergence
Author: Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón Penkova Vassileva, María
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
In this paper, based on Ostrowski's method, a new family of eighth-order methods for solving nonlinear equations is derived. In terms of computational cost, each iteration of these methods requires three evaluations of the ...[+]
Subjects: Convergence order , Efficiency index , Iterative methods , Nonlinear equations , Optimal order , Ostrowski's method , Computational costs , First derivative , Numerical comparison , Optimization
Copyrigths: Reserva de todos los derechos
Source:
Journal of Computational and Applied Mathematics. (issn: 0377-0427 ) (eissn: 1879-1778 )
DOI: 10.1016/j.cam.2011.01.004
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.cam.2011.01.004
Project ID:
info:eu-repo/grantAgreement/MICINN//MTM2010-18539/ES/DISEÑO, ANALISIS Y OPTIMIZACION DE METODOS DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES. APLICACIONES A PROBLEMAS DE VALOR INICIAL Y FLUJO OPTICO/
Thanks:
This research was supported by Ministerio de Ciencia y Tecnologia MTM2010-18539.
Type: Artículo

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