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Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure

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Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure

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dc.contributor.author Artidiello Moreno, Santiago de Jesús es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.contributor.author VASSILEVA, MARÍA PENKOVA es_ES
dc.date.accessioned 2016-05-25T10:06:24Z
dc.date.available 2016-05-25T10:06:24Z
dc.date.issued 2015-10-01
dc.identifier.issn 0096-3003
dc.identifier.uri http://hdl.handle.net/10251/64688
dc.description.abstract [EN] In this paper, from Traub’s method and by applying weight function technique, a bi-parametric family of predictor–corrector iterative schemes with optimal fourth-order of convergence, for solving nonlinear equations, is presented. By using some algebraic manipulations and a divided difference operator, we extend this family to the multidimensional case, preserving its order of convergence. Some numerical test are made in order to confirm the theoretical results and to compare the new methods with other known ones. es_ES
dc.description.sponsorship This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C02-02 and FONDOCYT 2014-1C1-088, Republica Dominicana. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Applied Mathematics and Computation es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear system es_ES
dc.subject Optimal order es_ES
dc.subject Weight function procedure es_ES
dc.subject Divided difference operator es_ES
dc.subject Efficiency index es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.amc.2015.07.024
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/FONDOCYT//2014-1C1-088/ 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 Artidiello Moreno, SDJ.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vassileva, MP. (2015). Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure. Applied Mathematics and Computation. 268:1064-1071. https://doi.org/10.1016/j.amc.2015.07.024 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://dx.doi.org/10.1016/j.amc.2015.07.024 es_ES
dc.description.upvformatpinicio 1064 es_ES
dc.description.upvformatpfin 1071 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 268 es_ES
dc.relation.senia 296769 es_ES
dc.identifier.eissn 1873-5649
dc.contributor.funder Fondo Nacional de Innovación y Desarrollo Científico y Tecnológico, República Dominicana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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