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New efficient methods for solving nonlinear systems of equations with arbitrary even order

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New efficient methods for solving nonlinear systems of equations with arbitrary even order

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dc.contributor.author Abbasbandy, Saeid es_ES
dc.contributor.author Bakhtiari, Parisa es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.contributor.author Lotfi, Taher es_ES
dc.date.accessioned 2017-09-08T11:55:57Z
dc.date.available 2017-09-08T11:55:57Z
dc.date.issued 2016-09-05
dc.identifier.issn 0096-3003
dc.identifier.uri http://hdl.handle.net/10251/86832
dc.description.abstract In 2011, Khattri and Abbasbandy developed an optimal two-step Jarratt-like method for approximating simple roots of a nonlinear equation. We develop their method for solving nonlinear systems of equations. The main feature of the extended methods is that it uses only one LU factorization which preserves and reduces computational complexities. Following this aim, the suggested method is generalized in such a way that we increase the order of convergence but we do not need new LU factorization. Convergence and complexity analysis are provided rigorously. Using some small and large systems, applicability along with some comparisons are illustrated. es_ES
dc.description.sponsorship This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C02-2-P. 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 systems es_ES
dc.subject Multipoint iteration es_ES
dc.subject Matrix LU factorization es_ES
dc.subject Computational efficiency es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title New efficient methods for solving nonlinear systems of equations with arbitrary even order es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.amc.2016.04.038
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.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 Abbasbandy, S.; Bakhtiari, P.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Lotfi, T. (2016). New efficient methods for solving nonlinear systems of equations with arbitrary even order. Applied Mathematics and Computation. 287:94-103. https://doi.org/10.1016/j.amc.2016.04.038 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1016/j.amc.2016.04.038 es_ES
dc.description.upvformatpinicio 94 es_ES
dc.description.upvformatpfin 103 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 287 es_ES
dc.relation.senia 316643 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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