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dc.contributor.author | Zafar, Fiza![]() |
es_ES |
dc.contributor.author | Cordero Barbero, Alicia![]() |
es_ES |
dc.contributor.author | Sultana, Sana![]() |
es_ES |
dc.contributor.author | Torregrosa Sánchez, Juan Ramón![]() |
es_ES |
dc.date.accessioned | 2019-09-05T20:04:44Z | |
dc.date.available | 2019-09-05T20:04:44Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 0377-0427 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/125109 | |
dc.description.abstract | [EN] In this paper, we propose a family of iterative methods for finding multiple roots, with known multiplicity, by means of the introduction of four univariate weight functions. With the help of these weight functions, that play an important role in the development of higher order convergent iterative techniques, we are able to construct three-point eight-order optimal multiple-root finders. Also, numerical experiments have been applied to a number of test equations for different special schemes from this family satisfying the conditions given in the convergence analysis. We have also compared the basins of attraction of some proposed and known methods in order to check the wideness of the sets of converging initial points for each problem. (C) 2018 Elsevier B.V. All rights reserved. | es_ES |
dc.description.sponsorship | This research was partially supported by Ministerio de Economia y Competitividad, Spain MTM2014-52016-C2-2-P, MTM2015-64013-P and Generalitat Valenciana, Spain PROMETEO/2016/089 and Schlumberger Foundation-Faculty for Future Program. | |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Nonlinear equations | es_ES |
dc.subject | Optimal iterative methods | es_ES |
dc.subject | Multiple root | es_ES |
dc.subject | Basin of attraction | es_ES |
dc.subject | Stability | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.cam.2018.03.033 | es_ES |
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.relation.projectID | info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-64013-P/ES/SINGULARIDADES, GEOMETRIA GENERICA Y APLICACIONES/ | |
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 | Zafar, F.; Cordero Barbero, A.; Sultana, S.; Torregrosa Sánchez, JR. (2018). Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics. Journal of Computational and Applied Mathematics. 342:352-374. https://doi.org/10.1016/j.cam.2018.03.033 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1016/j.cam.2018.03.033 | es_ES |
dc.description.upvformatpinicio | 352 | es_ES |
dc.description.upvformatpfin | 374 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 342 | es_ES |
dc.relation.pasarela | S\367890 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad |