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Basins of attraction for various Steffensen-Type methods

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Basins of attraction for various Steffensen-Type methods

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Soleymani, Fazlollah es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.contributor.author Shateyi, Standford es_ES
dc.date.accessioned 2015-10-08T12:15:52Z
dc.date.available 2015-10-08T12:15:52Z
dc.date.issued 2014
dc.identifier.issn 1110-757X
dc.identifier.uri http://hdl.handle.net/10251/55800
dc.description.abstract The dynamical behavior of different Steffensen-type methods is analyzed. We check the chaotic behaviors alongside the convergence radii (understood as the wideness of the basin of attraction) needed by Steffensen-type methods, that is, derivative-free iteration functions, to converge to a root and compare the results using different numerical tests. We will conclude that the convergence radii (and the stability) of Steffensen-type methods are improved by increasing the convergence order. The computer programming package MATHEMATICA provides a powerful but easy environment for all aspects of numerics. This paper puts on show one of the application of this computer algebra system in finding fixed points of iteration functions. es_ES
dc.description.sponsorship The authors are indebted to the referees for some interesting comments and suggestions. This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02. en_EN
dc.language Inglés es_ES
dc.publisher Hindawi Publishing Corporation es_ES
dc.relation.ispartof Journal of Applied Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Derivative-free methods es_ES
dc.subject Iterative methods free es_ES
dc.subject Find simple roots es_ES
dc.subject Nonlinear equations es_ES
dc.subject Dynamics es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Basins of attraction for various Steffensen-Type methods es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2014/539707
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.; Soleymani, F.; Torregrosa Sánchez, JR.; Shateyi, S. (2014). Basins of attraction for various Steffensen-Type methods. Journal of Applied Mathematics. 2014. https://doi.org/10.1155/2014/539707 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1155/2014/539707 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2014 es_ES
dc.relation.senia 269011 es_ES
dc.identifier.eissn 1687-0042
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
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