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On the convergence of a damped-secant method with modified right-hand side vector

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On the convergence of a damped-secant method with modified right-hand side vector

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dc.contributor.author Argyros, Ioannis K. es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Magreñán Ruiz, Ángel Alberto es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón
dc.date.accessioned 2016-05-25T12:01:48Z
dc.date.available 2016-05-25T12:01:48Z
dc.date.issued 2015-02-01
dc.identifier.issn 0096-3003
dc.identifier.uri http://hdl.handle.net/10251/64697
dc.description.abstract [EN] We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case when the method is defined on Ri , our method provides computable error estimates based on the initial data. Such estimates were not given in relevant studies such as (Herceg et al., 1996; Krejic´, 2002). Numerical examples further validating the theoretical results are also presented in this study. es_ES
dc.description.sponsorship The authors thank to the anonymous referee for his/her valuable comments and for the suggestions to improve the final version of the paper. This work is partially supported by UNIR Research Support Strategy 2013-2015, under the CYBERSECURITICS.es Research Group [http://research.unir.net]. en_EN
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 Damped Secant method es_ES
dc.subject Banach space es_ES
dc.subject Local/semi-local convergence es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the convergence of a damped-secant method with modified right-hand side vector es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.amc.2014.12.029
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 Argyros, IK.; Cordero Barbero, A.; Magreñán Ruiz, ÁA.; Torregrosa Sánchez, JR. (2015). On the convergence of a damped-secant method with modified right-hand side vector. Applied Mathematics and Computation. 252:315-323. doi:10.1016/j.amc.2014.12.029 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.amc.2014.12.029 es_ES
dc.description.upvformatpinicio 315 es_ES
dc.description.upvformatpfin 323 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 252 es_ES
dc.relation.senia 296753 es_ES
dc.identifier.eissn 1873-5649
dc.contributor.funder Universidad Internacional de La Rioja es_ES


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