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Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear system

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Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear system

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dc.contributor.author Hueso Pagoaga, José Luís es_ES
dc.contributor.author Martínez Molada, Eulalia es_ES
dc.contributor.author Teruel, Carles es_ES
dc.date.accessioned 2016-06-16T06:27:12Z
dc.date.available 2016-06-16T06:27:12Z
dc.date.issued 2015-02
dc.identifier.issn 0377-0427
dc.identifier.uri http://hdl.handle.net/10251/65997
dc.description.abstract [EN] In this work we present a new family of iterative methods for solving nonlinear systems that are optimal in the sense of Kung and Traub’s conjecture for the unidimensional case. We generalize this family by performing a new step in the iterative method, getting a new family with order of convergence six. We study the efficiency of these families for the multidimensional case by introducing a new term in the computational cost defined by Grau-Sánchez et al. A comparison with already known methods is done by studying the dynamics of these methods in an example system. es_ES
dc.description.sponsorship This research has been supported by Ministerio de Ciencia e Innovacion MTM2011-28636-C02-02 and by Vicerrectorado de Investigacion Universitat Politecnica de Valencia PAID-SP-2012-0498 and PAID-SP-2012-0474. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier 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 systems es_ES
dc.subject Efficiency index es_ES
dc.subject Dynamics. es_ES
dc.subject Iterative methods es_ES
dc.subject Convergence order es_ES
dc.subject Computational cost es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear system es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cam.2014.06.010
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/UPV//SP20120474/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//SP2012049/ 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 Hueso Pagoaga, JL.; Martínez Molada, E.; Teruel, C. (2015). Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear system. Journal of Computational and Applied Mathematics. 275:420-412. https://doi.org/10.1016/j.cam.2014.06.010 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.cam.2014.06.010 es_ES
dc.description.upvformatpinicio 420 es_ES
dc.description.upvformatpfin 412 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 275 es_ES
dc.relation.senia 295450 es_ES
dc.identifier.eissn 1879-1778
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Universitat Politècnica de València es_ES


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