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One-point Newton-type iterative methods: A unified point of view

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One-point Newton-type iterative methods: A unified point of view

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Jordan-Lluch, Cristina es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2016-06-13T07:28:09Z
dc.date.available 2016-06-13T07:28:09Z
dc.date.issued 2015-02
dc.identifier.issn 0377-0427
dc.identifier.uri http://hdl.handle.net/10251/65705
dc.description.abstract 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. es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and Universitat Politecnica de Valencia SP20120474. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation Ministerio de Ciencia y Tecnologia/ MTM2011-28636-C02-02 es_ES
dc.relation Universitat Politecnica de Valencia/ SP20120474 es_ES
dc.relation.ispartof Journal of Computational and Applied Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear equation es_ES
dc.subject One-point method es_ES
dc.subject Newton’s method es_ES
dc.subject Order of convergence es_ES
dc.subject Efficiency index es_ES
dc.subject Optimal order es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title One-point Newton-type iterative methods: A unified point of view es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cam.2014.07.009
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation 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. doi:10.1016/j.cam.2014.07.009 es_ES
dc.description.accrualMethod Senia es_ES
dc.relation.publisherversion http://dx.doi.org/ 10.1016/j.cam.2014.07.009 es_ES
dc.description.upvformatpinicio 366 es_ES
dc.description.upvformatpfin 374 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 275 es_ES
dc.relation.senia 269637 es_ES


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