Mostrar el registro sencillo del ítem
dc.contributor.author | Villalba, Eva G. | es_ES |
dc.contributor.author | Hernandez, Miguel | es_ES |
dc.contributor.author | Hueso, José L. | es_ES |
dc.contributor.author | Martínez Molada, Eulalia | es_ES |
dc.date.accessioned | 2024-07-05T18:10:50Z | |
dc.date.available | 2024-07-05T18:10:50Z | |
dc.date.issued | 2023-06-04 | es_ES |
dc.identifier.issn | 0170-4214 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/205808 | |
dc.description.abstract | [EN] Starting from the decomposition method for operators, we consider Newton-like iterative processes for approximating solutions of nonlinear operators in Banach spaces. These iterative processes maintain the quadratic convergence of Newton's method. Since the operator decomposition method has its highest degree of application in non-differentiable situations, we construct Newton-type methods using symmetric divided differences, which allow us to improve the accessibility of the methods. Experimentally, by studying the basins of attraction of these methods, we observe an improvement in the accessibility of the derivative-free iterative processes that are normally used in these non-differentiable situations, such as the classic Steffensen's method. In addition, we study both the local and semilocal convergence of the considered Newton-type methods. | es_ES |
dc.description.sponsorship | This research was partially supported by Ministerio de Economia y Competitividad under Grant PGC2018-095896-B-C21-C22. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | John Wiley & Sons | es_ES |
dc.relation.ispartof | Mathematical Methods in the Applied Sciences | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Kurchatov method | es_ES |
dc.subject | Newton-Kantorovich method | es_ES |
dc.subject | Non-differentiable operator | es_ES |
dc.subject | Semilocal convergence | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Using decomposition of the nonlinear operator for solving non-differentiable problems | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1002/mma.9455 | 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.rights.accessRights | Abierto | 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 | Villalba, EG.; Hernandez, M.; Hueso, JL.; Martínez Molada, E. (2023). Using decomposition of the nonlinear operator for solving non-differentiable problems. Mathematical Methods in the Applied Sciences. https://doi.org/10.1002/mma.9455 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1002/mma.9455 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.relation.pasarela | S\496701 | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
dc.contributor.funder | Universitat Politècnica de València | es_ES |