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A New High-Order Jacobian-Free Iterative Method with Memory for Solving Nonlinear Systems

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A New High-Order Jacobian-Free Iterative Method with Memory for Solving Nonlinear Systems

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dc.contributor.author Behl, Ramandeep es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.contributor.author Bhalla, Sonia es_ES
dc.date.accessioned 2022-02-21T19:03:37Z
dc.date.available 2022-02-21T19:03:37Z
dc.date.issued 2021-09-01 es_ES
dc.identifier.uri http://hdl.handle.net/10251/181025
dc.description.abstract [EN] We used a Kurchatov-type accelerator to construct an iterative method with memory for solving nonlinear systems, with sixth-order convergence. It was developed from an initial scheme without memory, with order of convergence four. There exist few multidimensional schemes using more than one previous iterate in the very recent literature, mostly with low orders of convergence. The proposed scheme showed its efficiency and robustness in several numerical tests, where it was also compared with the existing procedures with high orders of convergence. These numerical tests included large nonlinear systems. In addition, we show that the proposed scheme has very stable qualitative behavior, by means of the analysis of an associated multidimensional, real rational function and also by means of a comparison of its basin of attraction with those of comparison methods. es_ES
dc.description.sponsorship This research was supported by PGC2018-095896-B-C22 (MCIU/AEI/FEDER, UE). es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Nonlinear systems of equations es_ES
dc.subject Iterative methods es_ES
dc.subject Acceleration of convergence es_ES
dc.subject Efficiency es_ES
dc.subject Stability es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A New High-Order Jacobian-Free Iterative Method with Memory for Solving Nonlinear Systems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math9172122 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ 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 Behl, R.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Bhalla, S. (2021). A New High-Order Jacobian-Free Iterative Method with Memory for Solving Nonlinear Systems. Mathematics. 9(17):1-16. https://doi.org/10.3390/math9172122 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math9172122 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 16 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 9 es_ES
dc.description.issue 17 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\445972 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder European Regional Development Fund es_ES
upv.costeAPC 750 es_ES


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