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dc.contributor.authorBehl, Ramandeep
dc.contributor.authorAmat, Sergio
dc.contributor.authorMagreñán, Á. Alberto (1)
dc.contributor.authorMotsa, S S
dc.date2018
dc.date.accessioned2018-07-10T16:26:36Z
dc.date.available2018-07-10T16:26:36Z
dc.identifier.issn0377-0427
dc.identifier.urihttps://reunir.unir.net/handle/123456789/6658
dc.description.abstractThe principle aim of this manuscript is to propose a general scheme that can be applied to any optimal iteration function of order eight whose first substep employ Newton’s method to further develop new interesting optimal scheme of order sixteen. This scheme requires four evaluations of the involved function and one evaluation of its first-order derivative at each step. So, it is being optimally consistent with the conjecture of Kung–Traub. In addition, theoretical and computational properties are fully investigated along with a main theorem describing the order of convergence. Moreover, the conjugacy maps and the strange fixed points of some iterative methods are discussed, their basins of attractions are also given to show their dynamical behavior around the simple roots. From the numerical experiments, we find that our methods perform better than the existing ones when we checked the performance on a concrete variety of nonlinear equations.es_ES
dc.language.isoenges_ES
dc.publisherJournal of Computational and Applied Mathematicses_ES
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0377042718300827#!es_ES
dc.rightsrestrictedAccesses_ES
dc.subjectnonlinear modelses_ES
dc.subjectconvergencees_ES
dc.subjectdynamicses_ES
dc.subjectsixteenth order iterative methodses_ES
dc.subjectoptimales_ES
dc.subjectapplicationses_ES
dc.subjectScopuses_ES
dc.titleAn efficient optimal family of sixteenth order methods for nonlinear modelses_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttps://doi.org/10.1016/j.cam.2018.02.011


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