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Concerning the monotone convergence of the method of tangent hyperbolas

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Abstract

We provide sufficent conditions for the monotone convergence of a Chebysheff-Halley-type method or method of tangent hyperbolas in a partially ordered topological space setting. The famous Kantorovich theorem on fixed points is used here.

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  1. Department of Mathematics, Cameron University, 73505, Lawton, IK

    Ioannis K. Argyros

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  1. Ioannis K. Argyros
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Correspondence to Ioannis K. Argyros.

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Argyros, I.K. Concerning the monotone convergence of the method of tangent hyperbolas. Korean J. Comput. & Appl. Math. 7, 407–418 (2000). https://doi.org/10.1007/BF03012202

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  • DOI: https://doi.org/10.1007/BF03012202

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