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dc.contributor.author | Amat, Sergio | es_ES |
dc.contributor.author | Argyros, Ioannis K. | es_ES |
dc.contributor.author | Busquier Saez, Sonia | es_ES |
dc.contributor.author | Hernández-Verón, Miguel Angel | es_ES |
dc.contributor.author | Martínez Molada, Eulalia | es_ES |
dc.date.accessioned | 2020-06-13T03:33:23Z | |
dc.date.available | 2020-06-13T03:33:23Z | |
dc.date.issued | 2018-12-01 | es_ES |
dc.identifier.issn | 0377-0427 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/146303 | |
dc.description.abstract | [EN] This paper is devoted to a family of Newton-like methods with frozen derivatives used to approximate a locally unique solution of an equation. The methods have high order of convergence but only using first order derivatives. Moreover only one LU decomposition is required in each iteration. In particular, the methods are real alternatives to the classical Newton method. We present a local convergence analysis based on hypotheses only on the first derivative. These types of local results were usually proved based on hypotheses on the derivative of order higher than two although only the first derivative appears in these types of methods (Bermficlez et al., 2012; Petkovic et al., 2013; Traub, 1964). We apply these methods to an equation related to the nonlinear complementarity problem. Finally, we find the most efficient method in the family for this problem and we perform a theoretical and a numerical study for it. (C) 2018 Elsevier B.V. All rights reserved. | es_ES |
dc.description.sponsorship | Research was supported in part by Programa de Apoyo a Ia investigacion de Ia fundacion Seneca-Agencia de Ciencia y Tecnologia de la Region de Murcia 19374/PI/14, by the project of Generalitat Valenciana Prometeo/2016/089 and the projects MTM2015-64382-P (MINECO/FEDER), MTM2014-52016-C2-1-P and MTM2014-52016-C2-2-P of the Spanish Ministry of Science and Innovation. | es_ES |
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 methods | es_ES |
dc.subject | Local convergence | es_ES |
dc.subject | Order of convergence | es_ES |
dc.subject | Efficiency | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | On the local convergence study for an efficient k-step iterative method | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.cam.2018.02.028 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/f SéNeCa//19374%2FPI%2F14/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-64382-P/ES/ANALISIS NUMERICO DE ALGUNOS FENOMENOS NO LINEALES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-1-P/ES/ECUACIONES NO LINEALES Y METODOS ITERATIVOS. APLICACIONES A PROBLEMAS DE OPTIMIZACION Y ECUACIONES MATRICIALES./ | 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.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Amat, S.; Argyros, IK.; Busquier Saez, S.; Hernández-Verón, MA.; Martínez Molada, E. (2018). On the local convergence study for an efficient k-step iterative method. Journal of Computational and Applied Mathematics. 343:753-761. https://doi.org/10.1016/j.cam.2018.02.028 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.cam.2018.02.028 | es_ES |
dc.description.upvformatpinicio | 753 | es_ES |
dc.description.upvformatpfin | 761 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 343 | es_ES |
dc.relation.pasarela | S\368270 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
dc.contributor.funder | Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia | es_ES |