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dc.creatorNisha, Shwet
dc.creatorParida, P. K.
dc.date2020-04-18
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/2256
dc.identifier10.4067/S0719-06462020000100055
dc.descriptionIn this paper, we have studied local convergence of Super-Halley method in Banach spaces under the assumption of second order majorant conditions. This approach allows us to obtain generalization of earlier convergence analysis under majorizing sequences. Two important special cases of the convergence analysis based on the premises of Kantorovich and Smale type conditions have also been concluded. To show efficacy of our approach we have given three numerical examples.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/2256/1939
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 22 No. 1 (2020); 55–70en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 22 Núm. 1 (2020); 55–70es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectNonlinear equationsen-US
dc.subjectSuper-Halley methoden-US
dc.subjectMajorant conditionsen-US
dc.subjectLocal Convergenceen-US
dc.subjectSemilocal Convergenceen-US
dc.subjectSmale-type conditionsen-US
dc.subjectKantorovich-type conditionsen-US
dc.titleSuper-Halley method under majorant conditions in Banach spacesen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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