Conference Papers

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Author: search.filters.author.Argyros, I.K.

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    Ball Convergence of a Fifth-Order Method for Solving Equations Under Weak Conditions
    (Springer, 2021) Argyros, I.K.; George, S.; Erappa, S.M.
    We develop a ball convergence for a fifth-order method to find a solution for an equation. Earlier studies used conditions on the sixth derivative not present in the methods. Moreover, no error estimates are provided. That is why we used conditions up to the second derivative. Numerical experiments validate the theoretical results. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
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    Ball Convergence of Multipoint Methods for Non-linear Systems
    (Springer Science and Business Media Deutschland GmbH, 2021) Argyros, I.K.; George, S.; Erappa, S.M.
    We study Multipoint methods using only the first derivative. Earlier studies use higher than three order derivatives not on the methods. Moreover Lipschitz constants are used to find error estimates not presented in earlier papers. Numerical examples complete this paper. © 2021, Springer Nature Singapore Pte Ltd.