Browsing by Author "Muhammed Saeed, K."

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    On the convergence of Homeier method and its extensions
    (Springer Science and Business Media B.V., 2022) Muhammed Saeed, K.; Krishnendu, R.; George, S.; Padikkal, J.
    A third-order Homeier method for solving equations in Banach space is studied. Using assumptions on the first and second derivatives, we obtained third-order convergence. Our technique does not involve Taylor series expansion and can be extended to similar higher-order methods. We have given two extensions of the method with orders five and six. Examples with radii of convergence and basins of attraction are provided. © 2022, The Author(s), under exclusive licence to The Forum D’Analystes.