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dc.contributor.author | Cordero Barbero, Alicia | es_ES |
dc.contributor.author | Guasp, Lucia | es_ES |
dc.contributor.author | Torregrosa Sánchez, Juan Ramón | es_ES |
dc.date.accessioned | 2020-05-22T03:03:08Z | |
dc.date.available | 2020-05-22T03:03:08Z | |
dc.date.issued | 2019-06-06 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/144106 | |
dc.description.abstract | [EN] In this manuscript, by using the weight-function technique, a new class of iterative methods for solving nonlinear problems is constructed, which includes many known schemes that can be obtained by choosing different weight functions. This weight function, depending on two different evaluations of the derivative, is the unique difference between the two steps of each method, which is unusual. As it is proven that all the members of the class are optimal methods in the sense of Kung-Traub¿s conjecture, the dynamical analysis is a good tool to determine the best elements of the family in terms of stability. Therefore, the dynamical behavior of this class on quadratic polynomials is studied in this work. We analyze the stability of the presented family from the multipliers of the fixed points and critical points, along with their associated parameter planes. In addition, this study enables us to select the members of the class with good stability properties. | es_ES |
dc.description.sponsorship | This research was partially supported by Spanish Ministerio de Ciencia, Innovacion y Universidades PGC2018-095896-B-C22 and Generalitat Valenciana PROMETEO/2016/089. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | MDPI AG | es_ES |
dc.relation.ispartof | Symmetry (Basel) | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Nonlinear equation | es_ES |
dc.subject | Iterative method | es_ES |
dc.subject | Dynamical behavior | es_ES |
dc.subject | Fatou and Julia sets | es_ES |
dc.subject | Basin of attraction | es_ES |
dc.subject | Periodic orbits | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Fixed point root-finding methods of fourth-order of convergence | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3390/sym11060769 | 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.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. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Cordero Barbero, A.; Guasp, L.; Torregrosa Sánchez, JR. (2019). Fixed point root-finding methods of fourth-order of convergence. Symmetry (Basel). 11(6):1-15. https://doi.org/10.3390/sym11060769 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3390/sym11060769 | 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 | 11 | es_ES |
dc.description.issue | 6 | es_ES |
dc.identifier.eissn | 2073-8994 | es_ES |
dc.relation.pasarela | S\393523 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
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