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Author: search.filters.author.Magreñán Ruiz, Á.A.Subject: search.filters.subject.Banach spaces

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    Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
    (Elsevier, 2015) Argyros, I.K.; George, S.; Magreñán Ruiz, Á.A.
    We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting. MMCHTM includes earlier methods given by others as special cases. The convergence ball for a class of MMCHTM methods is obtained under weaker hypotheses than before. Numerical examples are also presented in this study. © 2014 Elsevier B.V. All rights reserved.