| 解线性变分不等式问题的神经网络方法 |
| |
| 引用本文： | 曾志刚,廖晓昕.解线性变分不等式问题的神经网络方法[J].华中科技大学学报(自然科学版),2002,30(12):18-20. |
| |
| 作者姓名： | 曾志刚 廖晓昕 |
| |
| 作者单位： | 华中科技大学控制科学与工程系 |
| |
| 基金项目： | 国家自然科学基金资助项目 (6 0 2 74 0 0 7)，湖北省教育厅重大科研项目 (2 0 0 1Z0 6 0 0 3) |
| |
| 摘 要： | 研究了一类线性变分不等式问题，将线性变分不等式问题的解转化为一个神经网络的平衡点，利用分析技巧，给出了所提出的神经网络的所有解全局指数收敛到变分不等式的解的一些充分条件，同时得到指数收敛率的估计，从而得到求线性变分不等式问题的解的神经网络方法，便于实际应用。
|
| 关 键 词： | 线性变分不等式 神经网络 指数收敛 特征值 |
| 文章编号： | 1671-4512(2002)12-0018-03 |
| 修稿时间： | 2002年4月12日 |
The solution to linear variational inequality by neural network |
| |
| Zeng Zhigang,Liao Xiaoxin.The solution to linear variational inequality by neural network[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2002,30(12):18-20. |
| |
| Authors: | Zeng Zhigang Liao Xiaoxin |
| |
| Affiliation: | Zeng Zhigang Liao Xiaoxin |
| |
| Abstract: | The linear variational inequality problem was considered and the solution was transmuted to an equilibrium point of neural networks. By using analytic technique, some sufficient conditions were presented. In those conditions all solutions of the proposed neural network were globally exponentially convergent to the unique solution to the linear variational inequality problem, and the estimation of the exponential convergence rates of the neural network was obtained. The method of neural network for solving linear variational inequality problem was introduced. |
| |
| Keywords: | variational inequality neural network exponentially convergence eigenvalue |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
