Journal of Guangdong University of Technology ›› 2007, Vol. 24 ›› Issue (2): 20-23.

• Comprehensive Studies • Previous Articles     Next Articles

Neural Network for a Kind of General Linear Complementarity Problem

  

  1. (Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China)
  • Online:2007-07-02 Published:2007-07-02

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Abstract: A nongradient neural network is presented for solving a kind of the general linear complementarity problem.With the Lyapunov theorem and LaSalle invariant set principle,the network is proved to be Lyapunov stable and globally convergent to an exact solution of the problem when the matrix M is positive semidefinite.The network can be used to solve the linear complementarity prlblem,and it is simpler than the existing network.Moreover,it includes the network of quadratic optimization problem.Feasi...

Key words: general linear complementarity problem； neural network； stability； convergence；

[1] 夏又生,黄俊良.  一类线性互补问题的神经网络求解[J]. 东南大学学报. 1995(06)

[2] 高兴宝.  两类典型非线性问题的计算方法研究[D]. 西安电子科技大学 2000

[3] L. Fernandes,A. Friedlander,M. Guedes,J. Júdice.  Solution of a General Linear Complementarity Problem Using Smooth Optimization and Its Application to Bilinear Programming and LCP[J] ,2001

[4] Xia Y S,Wang J.A general methodology for designing glob-ally convergent optimization neural networks. IEEETrans.Networks . 1998
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