| 两类改进的六阶Newton迭代方法 |
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| 引用本文： | 朱芳.两类改进的六阶Newton迭代方法[J].平顶山学院学报,2015(2):13-17. |
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| 作者姓名： | 朱芳 |
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| 作者单位： | 安徽新华学院公共课教学部 |
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| 摘 要： | 通过改进4个三阶收敛的Newton迭代法得到一些新的方法来解非线性方程,并证明这些方法的收敛性.然后通过数值实例对新方法和原来的三阶收敛迭代法进行比较,说明新的迭代方法的有效性.
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| 关 键 词： | 非线性方程 迭代公式 收敛阶 |
Two Kinds of Modified Sixth-order Newton Iterative Method |
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| ZHU Fang.Two Kinds of Modified Sixth-order Newton Iterative Method[J].Journal of Pingdingshan University,2015(2):13-17. |
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| Authors: | ZHU Fang |
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| Institution: | ZHU Fang;Department of Basics,Anhui Xinhua University; |
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| Abstract: | In this paper,we obtain a series of new iterative methods of solving nonlinear equations by four third-order Newton's method,and prove their convergence. Numerical examples are given to show that our methods,compared with other iterative methods,have a significant improvement. |
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| Keywords: | non-linear equations iterative method convergence |
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