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dc.contributor.author | Behl, Ramandeep | es_ES |
dc.contributor.author | Cordero Barbero, Alicia | es_ES |
dc.contributor.author | Motsa, Sandile S. | es_ES |
dc.contributor.author | Torregrosa Sánchez, Juan Ramón | es_ES |
dc.date.accessioned | 2018-04-27T04:13:14Z | |
dc.date.available | 2018-04-27T04:13:14Z | |
dc.date.issued | 2017 | es_ES |
dc.identifier.issn | 1220-3874 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/101069 | |
dc.description.abstract | [EN] In this manuscript, we propose a new highly efficient and optimal scheme of order sixteen for obtaining simple roots of nonlinear equations. The derivation of this scheme is based on the rational approximation approach. The proposed scheme requires four evaluations of the involved function and one evaluation of its first-order derivative, being optimally consistent with the conjecture of Kung-Traub. In addition, we fully investigated theoretical and computational properties of the proposed scheme along with a main theorem describing the order of convergence. Moreover, we find from the numerical experiments that our proposed methods perform better than the existing optimal sixteenth-order methods when we checked the performance in multi precision digits, on a variety of nonlinear equations. | es_ES |
dc.description.sponsorship | This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C2-2-P and Generalitat Valenciana PROMETEO/2016/089. The authors thank the anonymous reviewer for the constructive criticism. | es_ES |
dc.language | Inglés | es_ES |
dc.relation.ispartof | Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Nonlinear equations | es_ES |
dc.subject | Iterative methods | es_ES |
dc.subject | Order of convergence | es_ES |
dc.subject | Basin of attraction | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations | es_ES |
dc.type | Artículo | 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%2F088/ES/MODELOS COMPUTACIONALES PERSONALIZADOS MULTI-ESCALA PARA LA OPTIMIZACION DEL DIAGNOSTICO Y TRATAMIENTO DE ARRITMIAS CARDIACAS (PERSONALISED DIGITAL HEART)/ | 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 | Behl, R.; Cordero Barbero, A.; Motsa, SS.; Torregrosa Sánchez, JR. (2017). A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations. Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie. 60 (108)(2):127-140. http://hdl.handle.net/10251/101069 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://rms.unibuc.ro/bulletin/ | es_ES |
dc.description.upvformatpinicio | 127 | es_ES |
dc.description.upvformatpfin | 140 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 60 (108) | es_ES |
dc.description.issue | 2 | es_ES |
dc.relation.pasarela | S\354868 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |