A third-order modification of Newton’s method for multiple roots |
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| Authors: | Changbum Chun |
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| Institution: | a Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
b Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA 93943, United States |
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| Abstract: | In this paper, we present a new third-order modification of Newton’s method for multiple roots, which is based on existing third-order multiple root-finding methods. Numerical examples show that the new method is competitive to other methods for multiple roots. |
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| Keywords: | Newton&rsquo s method Multiple roots Iterative methods Nonlinear equations Order of convergence Root-finding |
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