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Chaos and convergence of a family generalizing Homeier's method with damping parameters

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Chaos and convergence of a family generalizing Homeier's method with damping parameters

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Franques, Antonio es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2018-03-23T13:26:57Z
dc.date.available 2018-03-23T13:26:57Z
dc.date.issued 2016 es_ES
dc.identifier.issn 0924-090X es_ES
dc.identifier.uri http://hdl.handle.net/10251/99663
dc.description.abstract [EN] In this paper, a family of parametric iterative methods for solving nonlinear equations, including Homeier's scheme, is presented. Its local convergence is obtained and the dynamical behavior on quadratic polynomials of the resulting family is studied in order to choose those values of the parameter that ensure stable behavior. To get this aim, the analysis of fixed and critical points and the associated parameter plane show the dynamical richness of the family and allow us to find members of this class with good numerical properties and also other ones with pathological conduct. To check the stable behavior of the good selected ones, the discretized planar 1D-Bratu problem is solved. Some of those chosen members of the family achieve good results when Homeier's scheme fails. es_ES
dc.description.sponsorship This research was supported by Ministerio de Economia y Competitividad MTM2014-52016-C02-2-P.
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Nonlinear Dynamics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear equations es_ES
dc.subject Iterative methods es_ES
dc.subject Dynamical behavior es_ES
dc.subject Parameter plane es_ES
dc.subject Convergence regions es_ES
dc.subject Bratu problem es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Chaos and convergence of a family generalizing Homeier's method with damping parameters es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11071-016-2807-0 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.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.; Franques, A.; Torregrosa Sánchez, JR. (2016). Chaos and convergence of a family generalizing Homeier's method with damping parameters. Nonlinear Dynamics. 85(3):1939-1954. https://doi.org/10.1007/s11071-016-2807-0 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s11071-016-2807-0 es_ES
dc.description.upvformatpinicio 1939 es_ES
dc.description.upvformatpfin 1954 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 85 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\316646 es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
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