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Memory in a new variant of King's family for solving nonlinear systems

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Memory in a new variant of King's family for solving nonlinear systems

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Nombre: Kansal;Cordero;Bhalla ...
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dc.contributor.author Kansal, Munish es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Bhalla, Sonia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2021-02-24T04:31:38Z
dc.date.available 2021-02-24T04:31:38Z
dc.date.issued 2020-08 es_ES
dc.identifier.uri http://hdl.handle.net/10251/162240
dc.description.abstract [EN] In the recent literature, very few high-order Jacobian-free methods with memory for solving nonlinear systems appear. In this paper, we introduce a new variant of King's family with order four to solve nonlinear systems along with its convergence analysis. The proposed family requires two divided difference operators and to compute only one inverse of a matrix per iteration. Furthermore, we have extended the proposed scheme up to the sixth-order of convergence with two additional functional evaluations. In addition, these schemes are further extended to methods with memory. We illustrate their applicability by performing numerical experiments on a wide variety of practical problems, even big-sized. It is observed that these methods produce approximations of greater accuracy and are more efficient in practice, compared with the existing 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 es_ES
dc.subject Convergence order es_ES
dc.subject Multi-point methods es_ES
dc.subject Schemes with memory es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Memory in a new variant of King's family for solving nonlinear systems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math8081251 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 Kansal, M.; Cordero Barbero, A.; Bhalla, S.; Torregrosa Sánchez, JR. (2020). Memory in a new variant of King's family for solving nonlinear systems. Mathematics. 8(8):1-15. https://doi.org/10.3390/math8081251 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math8081251 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8 es_ES
dc.description.issue 8 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\423810 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
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