基于神经动力系统求解广义非线性互补问题的优化方法  

An approach to general nonlinear complementarity problems based on neurodynamic system

作　　者：许文杰 欧宜贵[1] Xu Wenjie;Ou Yigui(College of Science,Hainan University,Haikou 570228,China)

机构地区：[1]海南大学理学院,海口570228

出　　处：《河南师范大学学报（自然科学版）》2022年第6期87-95,共9页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11961018);海南省研究生创新科研课题(Hys2020-107).

摘　　要：基于神经动力系统模型,提出了一种求解广义非线性互补问题的优化方法.该方法的一个主要特点是在分析其收敛性时不利用任何矩阵.在合理的假设条件下,该方法具有收敛性和全局指数稳定性.数值模拟结果表明了该模型的有效性,且可以应用于求解较大规模的非线性互补问题.In this paper,an optimization method based on neurodynamic system model for solving generalized nonlinear complementarity problems is proposed.A main feature of this method is that it does not involve any form of matrix information when analyzing its convergence.The method has convergence and global exponential stability under some reasonable assumptions.Numerical simulation results show that the model is effective and can be applied to solve some large-scale nonlinear complementarity problems.

关 键 词：非线性互补问题 投影方程 神经动力系统模型 收敛性 指数稳定性 

分 类 号：O221.2[理学—运筹学与控制论]