| 牛顿法的改进及其在Banach空间中收敛性 |
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| 引用本文： | 蒋青松 蒋茂旺. 牛顿法的改进及其在Banach空间中收敛性[J]. 数学理论与应用, 2006, 26(4): 100-103 |
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| 作者姓名： | 蒋青松 蒋茂旺 |
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| 作者单位： | 中南大学数学学院，河南中原油田通讯管理处 长沙，410075，濮阳，457000 |
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| 摘 要： | 牛顿法是求解非线性方程(组)的一种经典方法,本文在Banach空间中对经典牛顿法加以了改进,研究了其收敛性,改进后的牛顿法具有更广泛的应用前景.
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| 关 键 词： | 牛顿法 Banach空间 收敛性 |
| 收稿时间： | 2006-01-30 |
The Modified Newton Method and its Convergence in Banach Spaces |
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| Jiang Qingsong ,Jiang Maowang. The Modified Newton Method and its Convergence in Banach Spaces[J]. Mathematical Theory and Applications, 2006, 26(4): 100-103 |
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| Authors: | Jiang Qingsong Jiang Maowang |
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| Affiliation: | Mathematics School,Central South University,Changsha,410075 |
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| Abstract: | Newton method is a classical method to nonlinear equation f(x)=0.In this paper,we provide a modified Newton and give its property of convergence in Banach spaces,which have perspective use. |
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| Keywords: | Newton method Banach spaces property of convergence. |
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