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dc.contributor.author | Capdevila-Brown, Raudys Rafael | es_ES |
dc.contributor.author | Cordero Barbero, Alicia | es_ES |
dc.contributor.author | Torregrosa Sánchez, Juan Ramón | es_ES |
dc.date.accessioned | 2023-03-01T19:02:11Z | |
dc.date.available | 2023-03-01T19:02:11Z | |
dc.date.issued | 2022-04 | es_ES |
dc.identifier.issn | 0170-4214 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/192207 | |
dc.description.abstract | [EN] The dynamical behavior of the rational vectorial operator associated with a multidimensional iterative method on polynomial systems gives us interesting information about the stability of the iterative scheme. The stability of fixed points, dynamic planes, bifurcation diagrams, etc. are known tools that provide us this information. In this manuscript, we introduce a new tool, which we call isonormal surface, to complement the information about the stability of the iterative method provided by the dynamical elements mentioned above. These dynamical instruments are used for analyzing the stability of a parametric family of multidimensional iterative schemes in terms of the value of the parameter. Some numerical tests confirm the obtained dynamical results. | es_ES |
dc.description.sponsorship | Ministerio de Ciencia, Innovacion y Universidades (MCIU/AEI/FEDER, UE), Grant/Award Number: PGC2018-095896-B-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 (by) | es_ES |
dc.subject | Dynamical analysis | es_ES |
dc.subject | Isonormal surface | es_ES |
dc.subject | Iterative method | es_ES |
dc.subject | Nonlinear systems | es_ES |
dc.subject | Stability | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Isonormal surfaces: A new tool for the multidimensional dynamical analysis of iterative methods for solving nonlinear systems | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1002/mma.7695 | 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 | Capdevila-Brown, RR.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2022). Isonormal surfaces: A new tool for the multidimensional dynamical analysis of iterative methods for solving nonlinear systems. Mathematical Methods in the Applied Sciences. 45(6):3360-3375. https://doi.org/10.1002/mma.7695 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1002/mma.7695 | es_ES |
dc.description.upvformatpinicio | 3360 | es_ES |
dc.description.upvformatpfin | 3375 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 45 | es_ES |
dc.description.issue | 6 | es_ES |
dc.relation.pasarela | S\444747 | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |