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A family of seventh-order schemes for solving nonlinear systems

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A family of seventh-order schemes for solving nonlinear systems

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dc.contributor.author Abad Rodríguez, Manuel Francisco es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2016-04-29T12:48:31Z
dc.date.available 2016-04-29T12:48:31Z
dc.date.issued 2014
dc.identifier.issn 1220-3874
dc.identifier.uri http://hdl.handle.net/10251/63182
dc.description.abstract [EN] This paper focuses on solving nonlinear systems numerically. We propose an efficient family of three-step iterative schemes with seventh-order of convergence. The proposed methods are obtained by using the weight functions procedure and they do not require the evaluation of second or higher Frechet derivatives per iteration to proceed. Numerical comparisons are made with other existing methods to confirm the theoretical results and to show the performance of the presented schemes es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia y Tecnologia of Spain MTM2011-28636-0O2-02 and FONDOCYT 2011-1-B1-33 of Republica Dominicana.
dc.language Inglés es_ES
dc.publisher Société des Sciences Mathématiques de Roumanie 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 systems es_ES
dc.subject Iterative methods es_ES
dc.subject Order of convergence es_ES
dc.subject Multipoint methods es_ES
dc.subject.classification INGENIERIA ELECTRICA es_ES
dc.subject.classification INGENIERIA DE SISTEMAS Y AUTOMATICA es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A family of seventh-order schemes for solving nonlinear systems es_ES
dc.type Artículo es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-02/ES/DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/FONDOCYT//2011-1-B1-33/ 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.contributor.affiliation Universitat Politècnica de València. Departamento de Ingeniería de Sistemas y Automática - Departament d'Enginyeria de Sistemes i Automàtica es_ES
dc.description.bibliographicCitation Abad Rodríguez, MF.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2014). A family of seventh-order schemes for solving nonlinear systems. Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie. 57(105)(2):133-145. http://hdl.handle.net/10251/63182 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://www.rms.unibuc.ro/bulletin/ es_ES
dc.description.upvformatpinicio 133 es_ES
dc.description.upvformatpfin 145 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 57(105) es_ES
dc.description.issue 2 es_ES
dc.relation.senia 269013 es_ES
dc.contributor.funder Fondo Nacional de Innovación y Desarrollo Científico y Tecnológico, República Dominicana
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES


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