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dc.contributor.author | Campos, Beatriz | es_ES |
dc.contributor.author | Cordero Barbero, Alicia | es_ES |
dc.contributor.author | Torregrosa Sánchez, Juan Ramón | es_ES |
dc.contributor.author | Vindel Cañas, Purificación | es_ES |
dc.date.accessioned | 2018-07-09T04:26:12Z | |
dc.date.available | 2018-07-09T04:26:12Z | |
dc.date.issued | 2017 | es_ES |
dc.identifier.issn | 0377-0427 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/105507 | |
dc.description.abstract | [EN] In the literature exist many iterative methods with memory for solving nonlinear equations, the most of them designed in the last years. As they use the information of (at least) the two previous iterates to generate the new one, usual techniques of complex dynamics are not useful in this case. In this paper, we present some real multidimensional dynamical tools to undertake this task, applied on a very well-known family of iterative schemes; King's class. It is showed that the most of elements of this class present a very stable behavior, visualized in different dynamical planes. However, pathological cases as attracting strange fixed points or periodic orbits can also be found. (C) 2016 Elsevier B.V. All rights reserved. | es_ES |
dc.description.sponsorship | This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C2-2-P. | |
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 | Iterative method with memory | es_ES |
dc.subject | Basin of attraction | es_ES |
dc.subject | Dynamical plane | es_ES |
dc.subject | Stability | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Stability of King's family of iterative methods with memory | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.cam.2016.01.035 | 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.rights.accessRights | Abierto | es_ES |
dc.date.embargoEndDate | 2019-07-01 | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Campos, B.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vindel Cañas, P. (2017). Stability of King's family of iterative methods with memory. Journal of Computational and Applied Mathematics. 318:504-514. https://doi.org/10.1016/j.cam.2016.01.035 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1016/j.cam.2016.01.035 | es_ES |
dc.description.upvformatpinicio | 504 | es_ES |
dc.description.upvformatpfin | 514 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 318 | es_ES |
dc.relation.pasarela | S\316647 | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |