Application of half-derivatives in numerical analysis |
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| Authors: | S. E. Mikheev |
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| Affiliation: | (1) St. Petersburg State University, Universitetskii pr. 35, St. Petersburg, 198504, Russia |
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| Abstract: | Generalized concepts of the Lipschitz constant and the divided difference are used to develop a technique for analyzing numerical methods. Based on the technique, new results are obtained concerning error estimation for a nonlinear equation in a Banach space. |
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| Keywords: | half-derivative iteration iterative process estimate convergence analysis nonlinear equation |
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