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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 | 2016-05-25T08:27:39Z | |
dc.date.available | 2016-05-25T08:27:39Z | |
dc.date.issued | 2015-11-15 | |
dc.identifier.issn | 0096-3003 | |
dc.identifier.uri | http://hdl.handle.net/10251/64679 | |
dc.description.abstract | [EN] In this paper, we propose a general class of fourth-order optimal multi-point methods without memory for obtaining simple roots. This class requires only three functional evaluations (viz. two evaluations of function f(xn), f(yn) and one of its first-order derivative f (xn)) per iteration. Further, we show that the well-known Ostrowski’s method and King’s family of fourth-order procedures are special cases of our proposed schemes. One of the new particular subclasses is a biparametric family of iterative methods. By using complex dynamics tools, its stability is analyzed, showing stable members of the family. Further on, one of the parameters is fixed and the stability of the resulting class is studied. On the other hand, the accuracy and validity of new schemes is tested by a number of numerical examples by comparing them with recent and classical optimal fourth-order methods available in the literature. It is found that they are very useful in high precision computations. | es_ES |
dc.description.sponsorship | This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C02-02. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | 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 | Iterative methods | es_ES |
dc.subject | Optimal order of convergence | es_ES |
dc.subject | Complex dynamics | es_ES |
dc.subject | Parameter plane | es_ES |
dc.subject | Basin of attraction | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Construction of fourth-order optimal families of iterative methods and their dynamics | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.amc.2015.08.113 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES/ | es_ES |
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). Construction of fourth-order optimal families of iterative methods and their dynamics. Applied Mathematics and Computation. 271:89-101. https://doi.org/10.1016/j.amc.2015.08.113 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://dx.doi.org/10.1016/j.amc.2015.08.113 | es_ES |
dc.description.upvformatpinicio | 89 | es_ES |
dc.description.upvformatpfin | 101 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 271 | es_ES |
dc.relation.senia | 296768 | es_ES |
dc.identifier.eissn | 1873-5649 | |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |