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A new fourth-order family for solving nonlinear problems and its dynamics

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A new fourth-order family for solving nonlinear problems and its dynamics

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Feng, Licheng es_ES
dc.contributor.author Magrenan, A. es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2016-06-23T06:35:25Z
dc.date.available 2016-06-23T06:35:25Z
dc.date.issued 2015-03
dc.identifier.issn 0259-9791
dc.identifier.uri http://hdl.handle.net/10251/66348
dc.description.abstract In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made in order to choose those elements of the family with better conditions of stability. These results are checked by solving the nonlinear system that arises from the partial differential equation of molecular interaction. es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-{01, 02} and Universitat Politecnica de Valencia SP20120474. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Journal of Mathematical Chemistry es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear systems es_ES
dc.subject Iterative methods es_ES
dc.subject Complex dynamics es_ES
dc.subject Parameter space es_ES
dc.subject Basins of attraction es_ES
dc.subject Stability es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A new fourth-order family for solving nonlinear problems and its dynamics es_ES
dc.type Artículo es_ES
dc.type Comunicación en congreso es_ES
dc.identifier.doi 10.1007/s10910-014-0464-4
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-02/ES/DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-01/ES/PROCESOS ITERATIVOS PARA RESOLVER ECUACIONES NO LINEALES: CONSTRUCCION, CONVERGENCIA, EFICIENCIA, ANALISIS DINAMICO Y APLICACIONES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//SP20120474/ 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.; Feng, L.; Magrenan, A.; Torregrosa Sánchez, JR. (2015). A new fourth-order family for solving nonlinear problems and its dynamics. Journal of Mathematical Chemistry. 53(3):893-910. https://doi.org/10.1007/s10910-014-0464-4 es_ES
dc.description.accrualMethod S es_ES
dc.relation.conferencename 14th International Conference of Computational and Mathematical Methods in Science and Engineering (CMMSE) es_ES
dc.relation.conferencedate JUL 03-07, 2014 es_ES
dc.relation.conferenceplace Rota, Spain es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s10910-014-0464-4 es_ES
dc.description.upvformatpinicio 893 es_ES
dc.description.upvformatpfin 910 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 53 es_ES
dc.description.issue 3 es_ES
dc.relation.senia 296757 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
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