KMS Of Academy of mathematics and systems sciences, CAS
A neural network for the linear complementarity problem | |
Liao, LZ | |
1999-02-01 | |
发表期刊 | MATHEMATICAL AND COMPUTER MODELLING |
ISSN | 0895-7177 |
卷号 | 29期号:3页码:9-18 |
摘要 | An artificial neural network is proposed in this paper for solving the linear complementarity problem. The new neural network is based on a reformulation of the linear complementarity problem into the unconstrained minimization problem. Our new neural network can be easily implemented on a circuit. On the theoretical aspect, we analyze the existence of the equilibrium points for our neural network. In addition, we prove that if the equilibrium point exists for the neural network, then any such equilibrium point is both asymptotically and bounded (Lagrange) stable for any initial state. Furthermore, linear programming and certain quadratical programming problems (not necessarily convex) can be also solved by the neural network. Simulation results on several problems including a nonconvex one are also reported. (C) 1999 Elsevier Science Ltd. All rights reserved. |
关键词 | neural network linear complementarity problem stability |
语种 | 英语 |
WOS研究方向 | Computer Science ; Mathematics |
WOS类目 | Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied |
WOS记录号 | WOS:000079388600002 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/14862 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Liao, LZ |
作者单位 | 1.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Liao, LZ. A neural network for the linear complementarity problem[J]. MATHEMATICAL AND COMPUTER MODELLING,1999,29(3):9-18. |
APA | Liao, LZ.(1999).A neural network for the linear complementarity problem.MATHEMATICAL AND COMPUTER MODELLING,29(3),9-18. |
MLA | Liao, LZ."A neural network for the linear complementarity problem".MATHEMATICAL AND COMPUTER MODELLING 29.3(1999):9-18. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Liao, LZ]的文章 |
百度学术 |
百度学术中相似的文章 |
[Liao, LZ]的文章 |
必应学术 |
必应学术中相似的文章 |
[Liao, LZ]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论