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Efficient high-order methods based on golden ratio for nonlinear system

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Efficient high-order methods based on golden ratio for nonlinear system

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Hueso Pagoaga, José Luís es_ES
dc.contributor.author Martínez Molada, Eulalia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2015-07-01T08:53:55Z
dc.date.available 2015-07-01T08:53:55Z
dc.date.issued 2011-01-01
dc.identifier.issn 0096-3003
dc.identifier.issn 1873-5649
dc.identifier.uri http://hdl.handle.net/10251/52544
dc.description.abstract We derive new iterative methods with order of convergence four or higher, for solving nonlinear systems, by composing iteratively golden ratio methods with a modified Newton's method. We use different efficiency indices in order to compare the new methods with other ones and present several numerical tests which confirm the theoretical results. © 2010 Elsevier Inc. All rights reserved. es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia y Tecnologia MTM2010-18539. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation Ministerio de Ciencia y Tecnologia [MTM2010-18539] es_ES
dc.relation.ispartof Applied Mathematics and Computation es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Convergence order es_ES
dc.subject Efficiency indices es_ES
dc.subject Fixed point iteration es_ES
dc.subject Newton's method es_ES
dc.subject Nonlinear systems es_ES
dc.subject Efficiency index es_ES
dc.subject Golden ratio es_ES
dc.subject High-order methods es_ES
dc.subject Modified Newton's method es_ES
dc.subject Newton's methods es_ES
dc.subject Numerical tests es_ES
dc.subject Order of convergence es_ES
dc.subject Theoretical result es_ES
dc.subject Newton-Raphson method es_ES
dc.subject Numerical methods es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Efficient high-order methods based on golden ratio for nonlinear system es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.amc.2010.11.006
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.; Hueso Pagoaga, JL.; Martínez Molada, E.; Torregrosa Sánchez, JR. (2011). Efficient high-order methods based on golden ratio for nonlinear system. Applied Mathematics and Computation. 217(9):4548-4556. doi:10.1016/j.amc.2010.11.006 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.amc.2010.11.006 es_ES
dc.description.upvformatpinicio 4548 es_ES
dc.description.upvformatpfin 4556 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 217 es_ES
dc.description.issue 9 es_ES
dc.relation.senia 215658


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