| 解多项式方程的修正牛顿法的改进 |
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| 引用本文： | 苗慧. 解多项式方程的修正牛顿法的改进[J]. 杭州师范学院学报(自然科学版), 2008, 7(4): 265-268 |
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| 作者姓名： | 苗慧 |
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| 作者单位： | 浙江长征职业技术学院基础部,浙江杭州310023 |
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| 摘 要： | 该文提出了一个求解多项式方程n个单根的方法，从最常见的数值方法牛顿法出发，在修正后的牛顿法基础上用Chebyshev迭代法对其进行改进，使改进后的迭代法由原来的4阶收敛提高到至少5阶．
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| 关 键 词： | 牛顿法 迭代 修正 改进 收敛 |
Improvement of a Modified Newton Method for Solving Polynomial Equations |
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| MIAO Hui. Improvement of a Modified Newton Method for Solving Polynomial Equations[J]. Journal of Hangzhou Teachers College(Natural Science), 2008, 7(4): 265-268 |
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| Authors: | MIAO Hui |
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| Affiliation: | MIAO Hui (Department of Basic, Zhejiang Changzheng Professional ＆ Technical College, Hangzhou 310023, China) |
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| Abstract: | The paper proposes a method which can solve polynomial equations with simple root. With the well known numerical value mean which is Newton＇s method, the paper makes further improvement on the basis of modified Newton methods, namely, it uses Chebyshev iteration method to improve it and makes convergence order of the modified iteration methods which raises from four to at least five. |
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| Keywords: | Newton＇s method iteration modification improvement convergence |
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