A study on the local convergence of a Steffensen-King-type iterative method

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:32:39Z
dc.date.issued2017
dc.description.abstractWe study the local convergence of a Steffensen-King-type method to approximate a locally unique solution of a nonlinear equation. Earlier studies such as [14, 15, 17] show convergence under hypotheses on the third derivative or even higher. The convergence in this study is shown under hypotheses on the first derivative. Hence, the applicability of the method is expanded. Finally, numerical examples are also provided in this study. © CSP - Cambridge, UK; I & S - Florida, USA, 2017.
dc.identifier.citationNonlinear Studies, 2017, 24, 2, pp. 285-295
dc.identifier.issn13598678
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25781
dc.publisherCambridge Scientific Publishers jonathan.mckenna@touchbriefings.com
dc.subjectLocal convergence
dc.subjectOptimal method
dc.subjectSteffensen-King-type method
dc.titleA study on the local convergence of a Steffensen-King-type iterative method

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