| MATHEMATICAL ANALYSIS OF SOME NEURAL NETWORKS FOR SOLVING LINEAR AND QUADRATIC PROGRAMMING |
| |
| 引用本文： | 章祥荪.MATHEMATICAL ANALYSIS OF SOME NEURAL NETWORKS FOR SOLVING LINEAR AND QUADRATIC PROGRAMMING[J].应用数学学报(英文版),1996,12(1):1-10. |
| |
| 作者姓名： | 章祥荪 |
| |
| 作者单位： | Institute of Applied Mathematics the Chinese Academy of Sciences，Beijing 100080，China |
| |
| 摘 要： | ＺＨＡＮＧＸＩＡＮＧＳＵＮ（章祥荪）（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓｔｈｅＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ）ＲｅｃｅｉｖｅｄＪｕｎｅ１８，１９９４．Ｔｈｉｓｗｏｒｋｉ...
|
| 收稿时间： | 18 June 1994 |
Mathematical analysis of some neural networks for solving linear and quadratic programming |
| |
| Xiangsun Zhang.Mathematical analysis of some neural networks for solving linear and quadratic programming[J].Acta Mathematicae Applicatae Sinica,1996,12(1):1-10. |
| |
| Authors: | Xiangsun Zhang |
| |
| Institution: | (1) Institute of Applied Mathematics, the Chinese Academy of Sciences, 100080 Beijing, China |
| |
| Abstract: | Artificial neural network techniques have been introduced into the area of optimization in the recent decade. Some neural network models have been suggested to solve linear and quadratic programming problems. The Kennedy and Chua model5] is one of these networks. In this paper results about the convergence of the model are obtained. Another related problem is how to choose a parameter value s so that the equilibrium point of the network immediately and properly approximates the original solution. Such an estimation for the parameter is given in a closed form when the network is used to solve linear programming. |
| |
| Keywords: | Neural network linear programming quadratic programming penalty function method |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
