Cordero Barbero, A.; Hueso Pagoaga, JL.; Martínez Molada, E.; Torregrosa Sánchez, JR. (2013). A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations. Journal of Computational and Applied Mathematics. 252:95-102. doi:10.1016/j.cam.2012.03.030
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/56024
Title:
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A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations
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Author:
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Cordero Barbero, Alicia
Hueso Pagoaga, José Luís
Martínez Molada, Eulalia
Torregrosa Sánchez, Juan Ramón
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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A new technique to obtain derivative-free methods with optimal order of convergence in the sense of the Kung-Traub conjecture for solving nonlinear smooth equations is described. The procedure uses Steffensen-like methods ...[+]
A new technique to obtain derivative-free methods with optimal order of convergence in the sense of the Kung-Traub conjecture for solving nonlinear smooth equations is described. The procedure uses Steffensen-like methods and Pade approximants. Some numerical examples are provided to show the good performance of the new methods. (c) 2012 Elsevier B.V. All rights reserved.
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Subjects:
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Nonlinear equations
,
Derivative-free iterative methods
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Convergence order
,
Efficiency index
,
Padé approximant
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Journal of Computational and Applied Mathematics. (issn:
0377-0427
) (eissn:
1879-1778
)
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DOI:
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10.1016/j.cam.2012.03.030
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.cam.2012.03.030
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Project ID:
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Ministerio de Ciencia y Tecnología MTM2011-28636-C02-02
Vicerrectorado de Investigación, Universitat Politècnica de València PAID-06-2010-2285
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Thanks:
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This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and by Vicerrectorado de Investigacion, Universitat Politecnica de Valencia PAID-06-2010-2285.
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Type:
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Artículo
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