| 牛顿法的构造思想在算法构造中的应用 |
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| 引用本文： | 孔珊珊.牛顿法的构造思想在算法构造中的应用[J].济宁师范专科学校学报,2008,29(3):11-12. |
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| 作者姓名： | 孔珊珊 |
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| 作者单位： | 济宁学院数学系,山东曲阜273155 |
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| 摘 要： | 牛顿-拉弗森(Newtoon Raphson)法是求解非线性方程的最重要的迭代法之一.本文总结了牛顿法的三种不同构造思想,进一步探讨了数值分析中构造和改进算法常用的三种方法,并且举例说明这三种思想方法在数值分析中的应用.
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| 关 键 词： | 牛顿法 收敛性 迭代法 数值分析 算法 |
Application of the Thought of Newton Method in Algorithm Construction |
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| KONG Shanshan.Application of the Thought of Newton Method in Algorithm Construction[J].Journal of Jining Teachers College,2008,29(3):11-12. |
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| Authors: | KONG Shanshan |
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| Institution: | KONG Shanshan(Jining University,Qufu 273155,China) |
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| Abstract: | Newton-Raphson method is an important method for solving nonlinearequations.In this paper,I summarize three methods to construct Newton method.Based on the three methods,we propose three methods to construct or improve algorithms and illustrate the application of the three methods in numerical analysis. |
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| Keywords: | Newton method convergency iterative method numerical analysis algorithm |
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