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Author: search.filters.author.Cho, Y.J.Subject: search.filters.subject.Radius of convergence

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    Improved local convergence analysis for a three point method of convergence order 1.839…
    (Korean Mathematical Society kms@kms.or.kr, 2019) Argyros, I.K.; Cho, Y.J.; George, S.
    In this paper, we present a local convergence analysis of a three point method with convergence order 1.839… for approximating a locally unique solution of a nonlinear operator equation in setting of Banach spaces. Using weaker hypotheses than in earlier studies, we obtain: larger radius of convergence and more precise error estimates on the distances involved. Finally, numerical examples are used to show the advantages of the main results over earlier results. © 2019 Korean Mathematical Society.