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解线性不等式的神经网络
引用本文:张菊亮,章祥荪.解线性不等式的神经网络[J].运筹学学报,2002,6(1):9-18.
作者姓名:张菊亮  章祥荪
作者单位:中国科学院数学与系统科学研究院应用数学所,北京,100080
基金项目:This work is supported in part by the National Natural Science Foundation of China (Grant No.39830070, 10171055).
摘    要:本文提出两个解线性不等式的Hopfiedl-Tank型的神经网络。第一个网络模拟同时松弛投影方法,第二个网络是二次规划方法。当线性不等式的解集非空时,这两个方法都给出该线性不等式的解。同时我们还给出了这两个网络的数值模拟。

关 键 词:线性不等式  松弛投影方法  二次规划  神经网络  Hopfield-Tank型

Neural Networks for Linear Inequalities
JULIANG ZHANG XIANGSUN ZHANG.Neural Networks for Linear Inequalities[J].OR Transactions,2002,6(1):9-18.
Authors:JULIANG ZHANG XIANGSUN ZHANG
Abstract:In this paper, we proposed two continuous Hopfield-Tank neural networks for solving linear inequalities. The first net implements the simultaneous relaxation-projection method and the second net is a quadratic programming method. These two neural net-works can give accurately solutions if the solution set of the inequalities is nonempty. Numerical results of the two nets are given.
Keywords:Linear inequalities  relaxation projection methods  quadratic program-ming method  neural network    
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