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A geometric construction of iterative formulas of order three |
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| Authors: | Changbum Chun |
| Affiliation: | Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea |
| Abstract: | In this paper, we consider a geometric construction for improving the order of convergence of iterative formulas of order two. Using this approach, new third-order modifications of Newton’s method are derived. A comparison with other existing methods is given. |
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