Cordero Barbero, A.; Jordan-Lluch, C.; Torregrosa Sánchez, JR. (2015). One-point Newton-type iterative methods: A unified point of view. Journal of Computational and Applied Mathematics. 275:366-374. https://doi.org/10.1016/j.cam.2014.07.009
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/65705
Title:
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One-point Newton-type iterative methods: A unified point of view
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Author:
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Cordero Barbero, Alicia
Jordan-Lluch, Cristina
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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In this paper, a unified point of view that includes the most of one-point Newton-type iterative
methods for solving nonlinear equations is introduced. A simple idea to design iterative
methods with quadratic or cubic ...[+]
In this paper, a unified point of view that includes the most of one-point Newton-type iterative
methods for solving nonlinear equations is introduced. A simple idea to design iterative
methods with quadratic or cubic convergence is also described. This idea is extended
to construct one-point iterative methods of order four. In addition, several numerical examples
are given to illustrate and compare different known methods and some introduced
by using this unifying idea.
© 2014 Elsevier B.V. All rights reserved.
[-]
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Subjects:
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Nonlinear equation
,
One-point method
,
Newton’s method
,
Order of convergence
,
Efficiency index
,
Optimal order
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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
)
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DOI:
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10.1016/j.cam.2014.07.009
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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.2014.07.009
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Project ID:
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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//SP20120474/
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Thanks:
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This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and Universitat Politecnica de Valencia SP20120474.
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Type:
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Artículo
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