A Filter Trust Region Method for Convex Constrained Minimization

被引:0
|
作者
Sun, Li [1 ]
He, Guoping
Fang, Liang [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
关键词
Convex constrained minimization; filter technique; trust region method;
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We extend the multidimensional filter trust region method proposed by Gould, Sainvitu and Toint to solve the convex constrained problems. The multidimensional filter technique allows the trail step of the trust region method to be taken more often. Global convergence is promoted through the use of the filter. Numerical results demonstrate the efficiency and performance of the present algorithm.
引用
收藏
页码:367 / 370
页数:4
相关论文
共 50 条
  • [41] Outer Trust-Region Method for Constrained Optimization
    Birgin, Ernesto G.
    Castelani, Emerson V.
    Martinez, Andre L. M.
    Martinez, J. M.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (01) : 142 - 155
  • [42] A robust trust region method for general constrained optimization
    Zhang, JL
    [J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2004, 60 (01) : 73 - 85
  • [43] Trust region affine scaling algorithms for linearly constrained convex and concave programs
    Renato D. C. Monteiro
    Yanhui Wang
    [J]. Mathematical Programming, 1998, 80 : 283 - 313
  • [44] A nonmonotonic trust region method for constrained optimization problems
    Zhang, JZ
    Zhu, DT
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1999, 40 : 542 - 567
  • [45] A robust trust region method for general constrained optimization
    Ju-liang Zhang
    [J]. Mathematical Methods of Operations Research, 2004, 60 : 73 - 85
  • [46] A nonmonotone filter trust realon method for nonlinear constrained optimization
    Su, Ke
    Pu, Dingguo
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 223 (01) : 230 - 239
  • [47] Gradient trust region algorithm with limited memory BFGS update for nonsmooth convex minimization
    Yuan, Gonglin
    Wei, Zengxin
    Wang, Zhongxing
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2013, 54 (01) : 45 - 64
  • [48] A trust region method for minimization of nonsmooth functions with linear constraints
    Martinez, JM
    Moretti, AC
    [J]. MATHEMATICAL PROGRAMMING, 1997, 76 (03) : 431 - 449
  • [49] Gradient trust region algorithm with limited memory BFGS update for nonsmooth convex minimization
    Gonglin Yuan
    Zengxin Wei
    Zhongxing Wang
    [J]. Computational Optimization and Applications, 2013, 54 : 45 - 64
  • [50] A trust region method for minimization of nonsmooth functions with linear constraints
    José Mario Martínez
    Antonio Carlos Moretti
    [J]. Mathematical Programming, 1997, 76 : 431 - 449