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Chebyshev–Halley methods for analytic functions |
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| Authors: | Naoki Osada |
| Institution: | Tokyo Woman''s Christian University, Zempukuji, Suginamiku, Tokyo 167-8585, Japan |
| Abstract: | Two modifications of the family of Chebyshev–Halley methods are given. The first is to improve the rate of convergence to a multiple zero of an analytic function. The second is to find simultaneously all distinct zeros of a polynomial. |
| Keywords: | Chebyshev&ndash Halley method Multiple zero Chebyshev&ndash Halley-like method Zero finding Simultaneous Analytic function Decreasing ratio |
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