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Stability study of eighth-order iterative methods for solving nonlinear equations

dc.contributor.authorCordero, Alicia
dc.contributor.authorMagreñán, Á. Alberto
dc.contributor.authorQuemada, Carlos
dc.contributor.authorTorregrosa, Juan Ramón
dc.date2016-01
dc.date.accessioned2017-08-07T15:30:13Z
dc.date.available2017-08-07T15:30:13Z
dc.identifier.issn1879-1778
dc.identifier.urihttps://reunir.unir.net/handle/123456789/5337
dc.description.abstractIn this paper, we study the stability of the rational function associated to a known family of eighth-order iterative schemes on quadratic polynomials. The asymptotic behavior of the fixed points corresponding to the rational function is analyzed and the parameter space is shown, in which we find choices of the parameter for which there exists convergence to cycles or even chaotical behavior showing the complexity of the family. Moreover, some elements of the family with good stability properties are obtained.es_ES
dc.language.isoenges_ES
dc.publisherJournal of Computational and Applied Mathematicses_ES
dc.relation.ispartofseries;vol. 291
dc.relation.urihttp://www.sciencedirect.com/science/article/pii/S0377042715000187?via%3Dihubes_ES
dc.rightsclosedAccesses_ES
dc.subjectnonlinear equationses_ES
dc.subjectiterative methodses_ES
dc.subjectstabilityes_ES
dc.subjectparameter spacees_ES
dc.subjectbasin of attractiones_ES
dc.subjectJCRes_ES
dc.subjectScopuses_ES
dc.titleStability study of eighth-order iterative methods for solving nonlinear equationses_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttps://doi.org/10.1016/j.cam.2015.01.006


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