NEURAL NETWORKS FOR SOLVING SECOND-ORDER CONE PROGRAMS BASED ON COMPLEMENTARITY FUNCTIONS

被引:0
作者
Chen, Jein-Shan [1 ]
机构
[1] Natl Taiwan Normal Univ, Dept Math, Taipei 11677, Taiwan
关键词
Neural network; generalized FB function; stability; second-order cone; NONLINEAR CONVEX-PROGRAMS; VARIATIONAL-INEQUALITIES; REFORMULATION; STABILITY;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper surveys two neural networks for solving nonlinear convex programs with the second-order cone constraints. The neural network models are designed based on two different C-functions associated with a second-order cone. Various stabilities along with the neural networks are presented. Numerical comparisons are also reported.
引用
收藏
页码:1621 / 1641
页数:21
相关论文
共 41 条
[1]   Second-order cone programming [J].
Alizadeh, F ;
Goldfarb, D .
MATHEMATICAL PROGRAMMING, 2003, 95 (01) :3-51
[2]  
[Anonymous], 1982, ORDINARY DIFFERENTIA
[3]  
[Anonymous], 2007, Finite-dimensional variational inequalities and complementarity problems
[4]  
[Anonymous], 1993, Neural networks for optimization and signal processing
[5]  
Boyd L., 2004, CONVEX OPTIMIZATION
[6]   The convex and monotone functions associated with second-order cone [J].
Chen, Jein-Shan .
OPTIMIZATION, 2006, 55 (04) :363-385
[7]  
Chen JS, 2012, PAC J OPTIM, V8, P33
[8]   A neural network based on the generalized Fischer-Burmeister function for nonlinear complementarity problems [J].
Chen, Jein-Shan ;
Ko, Chun-Hsu ;
Pan, Shaohua .
INFORMATION SCIENCES, 2010, 180 (05) :697-711
[9]   An unconstrained smooth minimization reformulation of the second-order cone complementarity problem [J].
Chen, JS ;
Tseng, P .
MATHEMATICAL PROGRAMMING, 2005, 104 (2-3) :293-327
[10]   Solving convex programming problems with equality constraints by neural networks [J].
Chen, YH ;
Fang, SC .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 36 (07) :41-68