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Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior

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Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Fardi, M. es_ES
dc.contributor.author Ghasemi, M. es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2015-10-05T07:58:15Z
dc.date.available 2015-10-05T07:58:15Z
dc.date.issued 2014-03
dc.identifier.issn 0008-0624
dc.identifier.uri http://hdl.handle.net/10251/55523
dc.description.abstract In this paper, we present a family of optimal, in the sense of Kung-Traub's conjecture, iterative methods for solving nonlinear equations with eighth-order convergence. Our methods are based on Chun's fourth-order method. We use the Ostrowski's efficiency index and several numerical tests in order to compare the new methods with other known eighth-order ones. We also extend this comparison to the dynamical study of the different methods es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and by the Center of Excellence for Mathematics, University of Shahrekord, Iran. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Calcolo es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Convergence order es_ES
dc.subject Efficiency index es_ES
dc.subject Basin of attraction es_ES
dc.subject Periodic orbit es_ES
dc.subject Dynamical plane es_ES
dc.subject Nonlinear equations es_ES
dc.subject Iterative methods es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10092-012-0073-1
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.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària es_ES
dc.description.bibliographicCitation Cordero Barbero, A.; Fardi, M.; Ghasemi, M.; Torregrosa Sánchez, JR. (2014). Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior. Calcolo. 51(1):17-30. https://doi.org/10.1007/s10092-012-0073-1 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s10092-012-0073-1 es_ES
dc.description.upvformatpinicio 17 es_ES
dc.description.upvformatpfin 30 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 51 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 269012 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Islamic Azad University, Shahrekord es_ES
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