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Multistep High-Order Methods for Nonlinear Equations Using Pade-Like Approximants

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Multistep High-Order Methods for Nonlinear Equations Using Pade-Like Approximants

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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 2018-07-09T06:58:47Z
dc.date.available 2018-07-09T06:58:47Z
dc.date.issued 2017 es_ES
dc.identifier.issn 1026-0226 es_ES
dc.identifier.uri http://hdl.handle.net/10251/105555
dc.description.abstract [EN] We present new high-order optimal iterativemethods for solving a nonlinear equation, f(x) = 0, by using Pade-like approximants. We compose optimal methods of order 4 with Newton's step and substitute the derivative by using an appropriate rational approximant, getting optimal methods of order 8. In the same way, increasing the degree of the approximant, we obtain optimal methods of order 16. We also perform different numerical tests that confirm the theoretical results. es_ES
dc.description.sponsorship This work has been supported by Ministerio de Ciencia e Innovacion de Espana MTM2014-52016-C2-02-P and Generalitat Valenciana PROMETEO/2016/089. es_ES
dc.language Inglés es_ES
dc.publisher Hindawi Limited es_ES
dc.relation.ispartof Discrete Dynamics in Nature and Society es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Multistep High-Order Methods for Nonlinear Equations Using Pade-Like Approximants es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2017/3204652 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/ es_ES
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. (2017). Multistep High-Order Methods for Nonlinear Equations Using Pade-Like Approximants. Discrete Dynamics in Nature and Society. 1-6. https://doi.org/10.1155/2017/3204652 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1155/2017/3204652 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 6 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.relation.pasarela S\354871 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
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