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On the effect of the multidimensional weight functions on the stability of iterative processes

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On the effect of the multidimensional weight functions on the stability of iterative processes

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dc.contributor.author Chicharro, Francisco I. es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Garrido, Neus es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2022-04-29T18:04:05Z
dc.date.available 2022-04-29T18:04:05Z
dc.date.issued 2022-05-15 es_ES
dc.identifier.issn 0377-0427 es_ES
dc.identifier.uri http://hdl.handle.net/10251/182299
dc.description.abstract [EN] In this work, we start from a family of iterative methods for solving nonlinear multidimensional problems, designed using the inclusion of a weight function on its iterative expression. A deep dynamical study of the family is carried out on polynomial systems by selecting different weight functions and comparing the results obtained in each case. This study shows the applicability of the multidimensional dynamical analysis in order to select the methods of the family with the best stability properties. es_ES
dc.description.sponsorship This research was partially supported by PGC2018-095896-B-C22 (MCIU/AEI/FEDER, UE). 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 systems es_ES
dc.subject Real multidimensional dynamics es_ES
dc.subject Stability es_ES
dc.subject Basin of attraction es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the effect of the multidimensional weight functions on the stability of iterative processes es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cam.2020.113052 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//PGC2018-095896-B-C22-AR//DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES, MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Chicharro, FI.; Cordero Barbero, A.; Garrido, N.; Torregrosa Sánchez, JR. (2022). On the effect of the multidimensional weight functions on the stability of iterative processes. Journal of Computational and Applied Mathematics. 405:1-15. https://doi.org/10.1016/j.cam.2020.113052 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.cam.2020.113052 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 405 es_ES
dc.relation.pasarela S\423916 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder European Regional Development Fund es_ES


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