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A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics

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A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics

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dc.contributor.author Bahl, Ashu es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Sharma, Rajni es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2020-12-01T04:32:45Z
dc.date.available 2020-12-01T04:32:45Z
dc.date.issued 2019-09-15 es_ES
dc.identifier.issn 0096-3003 es_ES
dc.identifier.uri http://hdl.handle.net/10251/156112
dc.description.abstract [EN] In this paper, we propose a general bi-parametric family of sixth order iterative methods to solve systems of nonlinear equations. The presented scheme contains some well known existing methods as special cases. The stability of the proposed class, presented as an appendix, is used for selecting the most stable members of the family with optimum numerical performance. From the comparison with some existing methods of similar nature, it is observed that the presented methods show robust and efficient character. es_ES
dc.description.sponsorship This research was partially supported by UGC grant (no. F.8-4(99)/2015(MRP/NRCB), Ministerio de Economía y Competitividad MTM2014-52016-C2-2-P and by Generalitat Valenciana PROMETEO/2016/089. es_ES
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 Iterative methods es_ES
dc.subject Complex dynamics es_ES
dc.subject Parameter plane es_ES
dc.subject Basins of attraction es_ES
dc.subject Stability es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.amc.2019.04.003 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 Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Bahl, A.; Cordero Barbero, A.; Sharma, R.; Torregrosa Sánchez, JR. (2019). A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics. Applied Mathematics and Computation. 357:147-166. https://doi.org/10.1016/j.amc.2019.04.003 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.amc.2019.04.003 es_ES
dc.description.upvformatpinicio 147 es_ES
dc.description.upvformatpfin 166 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 357 es_ES
dc.relation.pasarela S\393531 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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