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A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory?

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A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory?

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Jordan-Lluch, Cristina es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2018-07-09T04:28:54Z
dc.date.available 2018-07-09T04:28:54Z
dc.date.issued 2017 es_ES
dc.identifier.issn 0377-0427 es_ES
dc.identifier.uri http://hdl.handle.net/10251/105515
dc.description.abstract [EN] The role of the derivatives at the iterative expression of methods with memory for solving nonlinear equations is analyzed in this manuscript. To get this aim, a known class of methods without memory is transformed into different families involving or not derivatives with an only accelerating parameter, then they are defined as discrete dynamical systems and the stability of the fixed points of their rational operators on quadratic polynomials are studied by means of real multidimensional dynamical tools, showing in all cases similar results. Finally, a different approach holding the derivatives, and by using different accelerating parameters, in the iterative methods involved present the most stable results, showing that the role of the appropriated accelerating factors is the most relevant fact in the design of this kind of iterative methods. (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-C02-2-P and Generalitat Valenciana PROME-TEO/2016/089.
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 Stability es_ES
dc.subject Bifurcation es_ES
dc.subject Basin of attraction es_ES
dc.subject Dynamical plane es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory? es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cam.2016.08.049 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.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 Cordero Barbero, A.; Jordan-Lluch, C.; Torregrosa Sánchez, JR. (2017). A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory?. Journal of Computational and Applied Mathematics. 318:335-347. https://doi.org/10.1016/j.cam.2016.08.049 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1016/j.cam.2016.08.049 es_ES
dc.description.upvformatpinicio 335 es_ES
dc.description.upvformatpfin 347 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 318 es_ES
dc.relation.pasarela S\316640 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES


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