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dc.contributor.authorLee, Min-Young
dc.contributor.authorKim, Young Ik
dc.contributor.authorMagreñán, Á. Alberto
dc.date2017-12
dc.date.accessioned2017-11-07T17:09:07Z
dc.date.available2017-11-07T17:09:07Z
dc.identifier.issn1873-5649
dc.identifier.urihttps://reunir.unir.net/handle/123456789/5953
dc.description.abstractUnder the assumption of known root multiplicity m is an element of N, a triparametric family of two-point optimal quartic-order methods locating multiple zeros are investigated in this paper by introducing a weight function dependent on a function-to-function ratio. Special cases of weight functions with selected free parameters are considered and studied through various test equations and numerical experiments to support the theory developed in this paper. In addition, we explore the relevant dynamics of proposed methods via Mobius conjugacy map when applied to a prototype polynomial (z - a)(m)(z - b)(m). The results of such dynamics are visually illustrated through a variety of parameter spaces as well as dynamical planes. (C) 2017 Elsevier Inc. All rights reserved.es_ES
dc.language.isoenges_ES
dc.publisherApplied Mathematics and Computationes_ES
dc.relation.ispartofseries;vol. 315
dc.relation.urihttp://www.sciencedirect.com/science/article/pii/S0096300317305568?via%3Dihubes_ES
dc.rightsopenAccesses_ES
dc.subjectparameter spacees_ES
dc.subjectmöbius mapes_ES
dc.subjectdynamical planees_ES
dc.subjectmultiple-zeroes_ES
dc.subjectfourth-orderes_ES
dc.subjectconjugacyes_ES
dc.subjectJCRes_ES
dc.subjectScopuses_ES
dc.titleOn the dynamics of a triparametric family of optimal fourth-order multiple-zero finders with a weight function of the principal mth root of a function-to function ratioes_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttp://dx.doi.org/10.1016/j.amc.2017.08.005


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