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dc.contributor.authorMagreñán, Á. Alberto (1)
dc.contributor.authorArgyros, Ioannis K
dc.date2016-05
dc.date.accessioned2017-04-04T14:29:57Z
dc.date.available2017-04-04T14:29:57Z
dc.identifier.citationÁ. Alberto Magreñán, Ioannis K. Argyros, On the local convergence and the dynamics of Chebyshev–Halley methods with six and eight order of convergence, Journal of Computational and Applied Mathematics, Volume 298, 15 May 2016, Pages 236-251, ISSN 0377-0427es_ES
dc.identifier.issn0377-0427
dc.identifier.urihttps://reunir.unir.net/handle/123456789/4692
dc.description.abstractWe study the local convergence of Chebyshev–Halley methods with six and eight order of convergence to approximate a locally unique solution of a nonlinear equation. In Sharma (2015) (see Theorem 1, p. 121) the convergence of the method was shown under hypotheses reaching up to the third derivative. The convergence in this study is shown under hypotheses on the first derivative. Hence, the applicability of the method is expanded. The dynamics of these methods are also studied. Finally, numerical examples examining dynamical planes are also provided in this study to solve equations in cases where earlier studies cannot apply.es_ES
dc.language.isoenges_ES
dc.publisherJournal of Computational and Applied Mathematicses_ES
dc.relation.ispartofseries;vol. 298
dc.relation.urihttp://www.sciencedirect.com/science/article/pii/S0377042715005907
dc.rightsrestrictedAccesses_ES
dc.subjectChebyshev–Halley methodses_ES
dc.subjectlocal convergencees_ES
dc.subjectorder of convergencees_ES
dc.subjectdynamics of a methodes_ES
dc.subjectJCRes_ES
dc.subjectScopuses_ES
dc.titleOn the local convergence and the dynamics of Chebyshev–Halley methods with six and eight order of convergencees_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttps://doi.org/10.1016/j.cam.2015.11.036


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