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A stable family with high order of convergence for solving nonlinear equations

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A stable family with high order of convergence for solving nonlinear equations

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Lotfi, Taher es_ES
dc.contributor.author Mahdiani, Katayoun es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2016-05-25T10:36:21Z
dc.date.available 2016-05-25T10:36:21Z
dc.date.issued 2015-03-01
dc.identifier.issn 0096-3003
dc.identifier.uri http://hdl.handle.net/10251/64694
dc.description.abstract [EN] Recently, Li et al. (2014) have published a new family of iterative methods, without memory, with order of convergence five or six, which are not optimal in the sense of Kung and Traub’s conjecture. Therefore, we attempt to modify this suggested family in such a way that it becomes optimal. To this end, we consider the same two first steps of the mentioned family, and furthermore, we introduce a better approximation for f 0 ðzÞ in the third step based on interpolation idea as opposed to the Taylor’s series used in the work of Li et al. Theoretical, dynamical and numerical aspects of the new family are described and investigated in details. es_ES
dc.description.sponsorship This research was supported by Islamic Azad University, Hamedan Branch and Ministerio de Ciencia y Tecnología MTM2011-28636-C02-02.
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Applied Mathematics and Computation es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear equations es_ES
dc.subject Optimal iterative methods es_ES
dc.subject Efficiency index es_ES
dc.subject Parameter space es_ES
dc.subject Basin of attraction es_ES
dc.subject Stability es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A stable family with high order of convergence for solving nonlinear equations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.amc.2014.12.141
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.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.; Lotfi, T.; Mahdiani, K.; Torregrosa Sánchez, JR. (2015). A stable family with high order of convergence for solving nonlinear equations. Applied Mathematics and Computation. 254:240-251. https://doi.org/10.1016/j.amc.2014.12.141 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.amc.2014.12.141 es_ES
dc.description.upvformatpinicio 240 es_ES
dc.description.upvformatpfin 251 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 254 es_ES
dc.relation.senia 289902 es_ES
dc.identifier.eissn 1873-5649
dc.contributor.funder Ministerio de Ciencia e Innovación


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