| 一种同时求解多项式重根的迭代方法及其收敛性 |
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| 引用本文： | 魏木生,高利新.一种同时求解多项式重根的迭代方法及其收敛性[J].华东师范大学学报(自然科学版),1998(2):16-21. |
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| 作者姓名： | 魏木生 高利新 |
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| 作者单位： | [1]华东师范大学数学系 [2]温州师范学院数学系 |
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| 基金项目： | 国家自然科学基金!1947102 |
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| 摘 要： | 本文给出一种三阶收敛的同时求解多项式重根的迭代方法，并分析该分法收敛的初始值条件，我们也给出算例。
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| 关 键 词： | 多项式求根 迭代 收敛 初始值条件 |
Implementation and Convergence Condition of an Iterative Method for Simultaneously Find All Multiple Roots of a Polynomial |
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| Wei Musheng.Implementation and Convergence Condition of an Iterative Method for Simultaneously Find All Multiple Roots of a Polynomial[J].Journal of East China Normal University(Natural Science),1998(2):16-21. |
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| Authors: | Wei Musheng |
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| Abstract: | We propose an iterative method for simultaneously finding all multiple roots of a polynomial. We show that the convergence rate is three, and we derive convergence condition for initial approximation. We also provide a numerical experiment to verify the discussion. |
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| Keywords: | roots of a polynomial iteration initial condition for convergence |
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