| Banach空间中半光滑算子方程的不精确牛顿法(英文) |
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| 引用本文： | 刘晶,高岩. Banach空间中半光滑算子方程的不精确牛顿法(英文)[J]. 运筹学学报, 2010, 14(3) |
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| 作者姓名： | 刘晶 高岩 |
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| 作者单位： | 1. 五邑大学数学与计算科学学院,江门,529020
2. 上海理工大学管理学院,上海,200093 |
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| 基金项目： | National Natural Science Foundation of China，the project for science of education bureau of Heilongjiang province，Natural Science Foundation of Guangdong Province，the Ph.D.Programs Foundation of Ministry of Wuyi University |
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| 摘 要： | 本文主要解决Banach空间中抽象的半光滑算子方程的解法.提出了两种不精确牛顿法,它们的收敛性同时得到了证明.这两种方法可以看作是有限维空间中已存在的解半光滑算子方程的方法的延伸.
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| 关 键 词： | 运筹学 非光滑算子方程 不精确牛顿法 半光滑 收敛性 |
Inexact Newton Method for Semismooth Operator Equations in Banach Space |
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| Liu Jing,Gao Yan. Inexact Newton Method for Semismooth Operator Equations in Banach Space[J]. OR Transactions, 2010, 14(3) |
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| Authors: | Liu Jing Gao Yan |
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| Affiliation: | Liu Jing Gao Yan 1.College of Mathematics and Computational Science,Wuyi University,Jiangmen 529020,China,2.School of Management,University of Shanghai for Science and Technology,Shanghai 200093 |
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| Abstract: | In this paper,we propose two inexact Newton methods for locally Lipschitzian semismooth function and prove their local convergence results under some conditions.The present inexact Newton methods could be viewed as the extensions of previous ones with same convergent results in finite-dimensional space. |
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| Keywords: | Operations research nonsmooth operator equations inexact-Newton method semismoothness convergence |
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