Third-order modification of Newton's method |
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| Authors: | Kou Jisheng Li Yitian Wang Xiuhua |
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| Affiliation: | 1. Department of Mathematics, Shanghai University, Shanghai 200444, China;2. State Key Laboratory of Water Resources and Hydropower Engineering Sciences, Wuhan University , Wuhan 430072, China;3. Department of Mathematics, Xiaogan University, Xiaogan 432100, Hubei , China |
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| Abstract: | In this paper, we present a new modification of Newton's method for solving non-linear equations. Analysis of convergence shows that the new method is cubically convergent. Numerical examples show that the new method can compete with the classical Newton's method. |
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| Keywords: | 41A25 65D99 |
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