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dc.contributor.author | Hernández-Verón, Miguel Angel | es_ES |
dc.contributor.author | Magreñán, Ángel Alberto | es_ES |
dc.contributor.author | Martínez Molada, Eulalia | es_ES |
dc.contributor.author | Singh, Sukhjit | es_ES |
dc.date.accessioned | 2024-05-10T18:06:57Z | |
dc.date.available | 2024-05-10T18:06:57Z | |
dc.date.issued | 2023-11-21 | es_ES |
dc.identifier.issn | 1565-1339 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/204097 | |
dc.description.abstract | [EN] In this article, we introduce a new Steffensen-type method with the advantage that its behavior is very similar to Newton's method; therefore, it is a very remarkable way of avoiding the drawback that Newton's method presents for nondifferentiable operators. In our study, we perform an exhaustive comparative study between the semilocal convergence of Newton's method and the derivative-free point-to-point iterative process considered; in the case of differentiable operators, we use the majoring sequences and the majorant principle. In the nondifferentiable case, we impose conditions on the starting point and on the nonlinear operator to obtain a semilocal convergence result for the iterative process considered. In both cases, we complete the theoretical convergence proofs with a dynamical study and a numerical test. In the case of differentiable operators, this study confirms that the accessibility and numerical behavior of both iterative processes, Newton's method and the derivative-free point-to-point iterative process considered, are very similar. | es_ES |
dc.description.sponsorship | This research was partially supported by Ministerio de Economia y Competitividad under grant PGC2018-095896-B-C21-C22 and by the project EEQ/2018/000720 under Science and Engineering Research Board. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Walter de Gruyter GmbH | es_ES |
dc.relation.ispartof | International Journal of Nonlinear Sciences and Numerical Simulation | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Derivative-free iterative processes | es_ES |
dc.subject | Divided differences | es_ES |
dc.subject | Iterative processes | es_ES |
dc.subject | Semilocal convergence | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | An improvement of derivative-free point-to-point iterative processes with central divided differences | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1515/ijnsns-2021-0245 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C21/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/SERB//EEQ%2F2018%2F000720/ | es_ES |
dc.rights.accessRights | Embargado | es_ES |
dc.date.embargoEndDate | 2024-11-21 | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació | es_ES |
dc.description.bibliographicCitation | Hernández-Verón, MA.; Magreñán, ÁA.; Martínez Molada, E.; Singh, S. (2023). An improvement of derivative-free point-to-point iterative processes with central divided differences. International Journal of Nonlinear Sciences and Numerical Simulation. 24(7):2781-2799. https://doi.org/10.1515/ijnsns-2021-0245 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1515/ijnsns-2021-0245 | es_ES |
dc.description.upvformatpinicio | 2781 | es_ES |
dc.description.upvformatpfin | 2799 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 24 | es_ES |
dc.description.issue | 7 | es_ES |
dc.relation.pasarela | S\512179 | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
dc.contributor.funder | Science and Engineering Research Board, India | es_ES |