Mostrar el registro sencillo del ítem
dc.contributor.author | Vázquez-Lozano, Juan Enrique | es_ES |
dc.contributor.author | Cordero Barbero, Alicia | es_ES |
dc.contributor.author | Torregrosa Sánchez, Juan Ramón | es_ES |
dc.date.accessioned | 2019-05-11T20:03:22Z | |
dc.date.available | 2019-05-11T20:03:22Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 0096-3003 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/120344 | |
dc.description.abstract | [EN] In this paper, the performance of a parametric family including Newton¿s and Traub¿s schemes on multiple roots is analyzed. The local order of convergence on nonlinear equations with multiple roots is studied as well as the dynamical behavior in terms of the damping parameter on cubic polynomials with multiple roots. The fixed and critical points, and the associated parameter plane are some of the characteristic dynamical features of the family which are obtained in this work. From the analysis of these elements we identify members of the family of methods with good numerical properties in terms of stability and efficiency both for finding the simple and multiple roots, and also other ones with very unstable behavior. | es_ES |
dc.description.sponsorship | This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C2-2-P Spain and Generalitat Valenciana PROMETEO/2016/089 Spain | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Applied Mathematics and Computation | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Nonlinear equations | es_ES |
dc.subject | Iterative methods | es_ES |
dc.subject | Multiple roots | es_ES |
dc.subject | Complex dynamics | es_ES |
dc.subject | Convergence regions | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Dynamical analysis on cubic polynomials of Damped Traub s method for approximating multiple roots | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.amc.2018.01.043 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./ | 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.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Instituto Universitario de Tecnología Nanofotónica - Institut Universitari de Tecnologia Nanofotònica | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Vázquez-Lozano, JE.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2018). Dynamical analysis on cubic polynomials of Damped Traub s method for approximating multiple roots. Applied Mathematics and Computation. 328:82-99. https://doi.org/10.1016/j.amc.2018.01.043 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1016/j.amc.2018.01.043 | es_ES |
dc.description.upvformatpinicio | 82 | es_ES |
dc.description.upvformatpfin | 99 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 328 | es_ES |
dc.relation.pasarela | S\356182 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |