Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces

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Date
2013-12-02
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Mark
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Hindawi
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Abstract
Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are illustrated with three examples
Je dokázána Newton-Kantorovičova a Smaleova věta o stejnoměrné konvergenci deformované Newtonovy metody třetího řádu v Banachově prostoru pro řešení nelineárních rovnic. Je stanoven odhad chyby, který prokazuje efektivnost našeho přístupu. Výsledky jsou pak demonstrovány třemi příklady.
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Abstract and Applied Analysis. 2013, vol. 2013, issue 1, p. 1-8.
https://www.hindawi.com/journals/aaa/2013/923898/
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en
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Creative Commons Attribution 3.0 Unported
http://creativecommons.org/licenses/by/3.0/
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