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A variant of Newton’s method based on Simpson’s three-eighths rule for nonlinear equations |
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| Institution: | 1. Department of Mathematics, National Kaohsiung Normal University, 82444 Kaohsiung, Taiwan;2. Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA;3. Department of Mathematics, National Kaohsiung Normal University, 82444 Kaohsiung, Taiwan |
| Abstract: | We propose a new variant of Newton’s method based on Simpson’s three-eighth rule. It can be shown that the new method is cubically convergent. |
| Keywords: | Nonlinear equation Newton’s method |
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