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Author: search.filters.author.Argyros, C.I.Subject: search.filters.subject.Semi-local convergence

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    Extended Convergence for m−step Iterative Methods and Applications
    (International Publications, 2022) Argyros, I.K.; George, S.; Argyros, C.I.
    We present a semi-local convergence analysis of m−step iterative methods in order to approximate a locally unique solution for Banach space valued equations. Our analysis extends the applicability of these methods. Using the center-Lipschitz con-dition, we determine a more precise domain containing the iterates leading to at least as tight Lipschitz constants as well as a finer semi-local convergence analysis than in earlier studies. Numerical examples are also presented, where the convergence criteria are tested and compared favorably to existing ones. © 2022, International Publications. All rights reserved.