| 用Padé逼近构造高阶收敛的方程求根迭代公式 |
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| 引用本文： | 黄有度. 用Padé逼近构造高阶收敛的方程求根迭代公式[J]. 合肥工业大学学报(自然科学版), 1993, 0(1) |
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| 作者姓名： | 黄有度 |
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| 摘 要： | 本文用[1/M]Pade逼近构造方程求解迭代公式,其收敛速度为M+2阶。此族公式包括著名的牛顿选代公式和Halley迭代公式。文中还给出了有效的算法。
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| 关 键 词： | Padé逼近 迭代公式 大范围收敛 |
ROOT-SEEKING ITERATIONS CONSTRUCTED FROM FADE APPROXIMATION WITH CONVERGENCE RATE OF HIGH ORDER |
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| Huang Youdu. ROOT-SEEKING ITERATIONS CONSTRUCTED FROM FADE APPROXIMATION WITH CONVERGENCE RATE OF HIGH ORDER[J]. Journal of Hefei University of Technology(Natural Science), 1993, 0(1) |
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| Authors: | Huang Youdu |
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| Affiliation: | Huang Youdu |
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| Abstract: | In this paper, root-seeking iterations are constructed from [1/M] pade Approxi-mants, the convergence rate has order M+2. The iteration family includes famous Newton and Halley Iterations. A effective algorithm is also presented. |
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