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On developing fourth-order optimal families of methods for multiple roots and their dynamics

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On developing fourth-order optimal families of methods for multiple roots and their dynamics

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dc.contributor.author Behl, Ramandeep es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Motsa, Sandile S es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2016-05-25T11:43:42Z
dc.date.available 2016-05-25T11:43:42Z
dc.date.issued 2015-08-15
dc.identifier.issn 0096-3003
dc.identifier.uri http://hdl.handle.net/10251/64696
dc.description.abstract [EN] There are few optimal fourth-order methods for solving nonlinear equations when the multiplicity in of the required loot is known in advance. Therefore, the first focus of this paper is on developing new fourth order optimal families of iterative methods by a simple and elegant way. Computational and theoretical properties are fully studied along with a main theorem describing the convergence analysis. Another main focus of this paper is the dynamical analysis of the rational map associated with our proposed class for multiple roots; as far as we know, there are no deep study of this kind on iterative methods for multiple roots. Further, using Mathematica with its high precision compatibility, a variety of concrete numerical experiments and relevant results are extensively treated to confirm the theoretical development. (C) 2015 Elsevier Inc. All rights reserved. es_ES
dc.description.sponsorship This research was supported by Ministerio de Economia y Competitividad MTM2014-52016-C02-02.
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation MINECO/MTM2014-52016-C02-02 es_ES
dc.relation.ispartof Applied Mathematics and Computation es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear equations es_ES
dc.subject Multiple roots es_ES
dc.subject Halley’s method es_ES
dc.subject Schröder method es_ES
dc.subject Complex dynamics es_ES
dc.subject Basin of attraction es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On developing fourth-order optimal families of methods for multiple roots and their dynamics es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.amc.2015.05.004
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 Behl, R.; Cordero Barbero, A.; Motsa, SS.; Torregrosa Sánchez, JR. (2015). On developing fourth-order optimal families of methods for multiple roots and their dynamics. Applied Mathematics and Computation. 265:520-532. doi:10.1016/j.amc.2015.05.004 es_ES
dc.description.accrualMethod Senia es_ES
dc.relation.publisherversion https://dx.doi.org/10.1016/j.amc.2015.05.004 es_ES
dc.description.upvformatpinicio 520 es_ES
dc.description.upvformatpfin 532 es_ES
dc.type.version info:eu repo/semantics/publishedVersion es_ES
dc.description.volume 265 es_ES
dc.relation.senia 296750 es_ES
dc.identifier.eissn 1873-5649
dc.contributor.funder Ministerio de Economía y Competitividad (MINECO)


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