A neural network for the linear complementarity problem
文献类型：期刊论文
| 作者 | Liao, LZ |
| 刊名 | MATHEMATICAL AND COMPUTER MODELLING
 |
| 出版日期 | 1999-02-01 |
| 卷号 | 29期号:3页码:9-18 |
| 关键词 | neural network linear complementarity problem stability |
| ISSN号 | 0895-7177 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000079388600002 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14861]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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