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A study of the local convergence of a fifth order iterative method

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A study of the local convergence of a fifth order iterative method

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dc.contributor.author Singh, Sukjith es_ES
dc.contributor.author Martínez Molada, Eulalia es_ES
dc.contributor.author Maroju, P. es_ES
dc.contributor.author Behl, Ramandeep es_ES
dc.date.accessioned 2021-02-11T04:32:57Z
dc.date.available 2021-02-11T04:32:57Z
dc.date.issued 2020-06 es_ES
dc.identifier.issn 0019-5588 es_ES
dc.identifier.uri http://hdl.handle.net/10251/161059
dc.description.abstract [EN] We present a local convergence study of a fifth order iterative method to approximate a locally unique root of nonlinear equations. The analysis is discussed under the assumption that first order Frechet derivative satisfies the Lipschitz continuity condition. Moreover, we consider the derivative free method that obtained through approximating the derivative with divided difference along with the local convergence study. Finally, we provide computable radii and error bounds based on the Lipschitz constant for both cases. Some of the numerical examples are worked out and compared the results with existing methods. es_ES
dc.description.sponsorship This research was partially supported by Ministerio de Economia y Competitividad under grant PGC2018-095896-B-C21-C22. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Indian Journal of Pure and Applied Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear equations es_ES
dc.subject Iterative methods es_ES
dc.subject Local convergence es_ES
dc.subject Divided differences es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A study of the local convergence of a fifth order iterative method es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13226-020-0409-5 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.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C21/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 Singh, S.; Martínez Molada, E.; Maroju, P.; Behl, R. (2020). A study of the local convergence of a fifth order iterative method. Indian Journal of Pure and Applied Mathematics. 51(2):439-455. https://doi.org/10.1007/s13226-020-0409-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13226-020-0409-5 es_ES
dc.description.upvformatpinicio 439 es_ES
dc.description.upvformatpfin 455 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 51 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\422671 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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