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Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators

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Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators

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dc.contributor.author Kumar, Abhimanyu es_ES
dc.contributor.author Gupta, D. K. es_ES
dc.contributor.author Martínez Molada, Eulalia es_ES
dc.contributor.author Hueso, José L. es_ES
dc.date.accessioned 2022-03-10T19:04:17Z
dc.date.available 2022-03-10T19:04:17Z
dc.date.issued 2021-03 es_ES
dc.identifier.issn 1017-1398 es_ES
dc.identifier.uri http://hdl.handle.net/10251/181373
dc.description.abstract [EN] In this paper, the convergence and dynamics of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings. Their semilocal convergence is established using recurrence relations under weaker continuity conditions on first-order divided differences. Convergence theorems are established for the existence-uniqueness of the solutions. Next, center-Lipschitz condition is defined on the first-order divided differences and its influence on the domain of starting iterates is compared with those corresponding to the domain of Lipschitz conditions. Several numerical examples including Automotive Steering problems and nonlinear mixed Hammerstein-type integral equations are analyzed, and the output results are compared with those obtained by some of similar existing iterative methods. It is found that improved results are obtained for all the numerical examples. Further, the dynamical analysis of the iterative method is carried out. It confirms that the proposed iterative method has better stability properties than its competitors. es_ES
dc.description.sponsorship This research was partially supported by Ministerio de Economia y Competitividad under grant PGC2018-095896-B-C22. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Numerical Algorithms es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear equations es_ES
dc.subject Divided differences es_ES
dc.subject Semilocal convergence es_ES
dc.subject Domain of parameters es_ES
dc.subject Dynamical analysis es_ES
dc.title Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11075-020-00922-9 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.description.bibliographicCitation Kumar, A.; Gupta, DK.; Martínez Molada, E.; Hueso, JL. (2021). Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators. Numerical Algorithms. 86(3):1051-1070. https://doi.org/10.1007/s11075-020-00922-9 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11075-020-00922-9 es_ES
dc.description.upvformatpinicio 1051 es_ES
dc.description.upvformatpfin 1070 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 86 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\422741 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
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