A FILTER-TRUST-REGION METHOD FOR LC1 UNCONSTRAINED OPTIMIZATION AND ITS GLOBAL CONVERGENCE

被引:1
|
作者
Zhenghao Yang
机构
关键词
nonsmooth optimization; filter method; trust region algorithm; global conver- gence; LC1; optimization;
D O I
暂无
中图分类号
O224 [最优化的数学理论];
学科分类号
070105 ; 1201 ;
摘要
In this paper we present a filter-trust-region algorithm for solving LC1 uncon- strained optimization problems which uses the second Dini upper directional derivative. We establish the global convergence of the algorithm under reasonable assumptions.
引用
收藏
页码:55 / 66
页数:12
相关论文
共 50 条
  • [1] A filter-trust-region method for unconstrained optimization
    Gould, NIM
    Sainvitu, C
    Toint, PL
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2005, 16 (02) : 341 - 357
  • [2] A Self-adaptive Conic Filter-Trust Region Method for Unconstrained Optimization and Its Global Convergence
    Sun, Zhongbo
    [J]. 2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 2676 - 2680
  • [3] A Modified Filter-Trust Region Algorithm and Its Global Convergence Properties for Unconstrained Optimization
    Sun, Zhongbo
    Xu, Chunling
    Jiang, Shuzhen
    [J]. PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 745 - 750
  • [4] Global convergence of a filter-trust-region algorithm for solving nonsmooth equations
    Yang, Zhenghao
    Sun, Wenyu
    Qi, Liqun
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (04) : 788 - 796
  • [5] ON AN OPTIMIZATION ALGORITHM FOR LC1 UNCONSTRAINED OPTIMIZATION
    Djuranovic-Milicic, Nada I.
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2005, 20 : 129 - 135
  • [6] A filter trust-region algorithm for unconstrained optimization with strong global convergence properties
    Fatemi, M.
    Mahdavi-Amiri, N.
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2012, 52 (01) : 239 - 266
  • [7] A filter trust-region algorithm for unconstrained optimization with strong global convergence properties
    M. Fatemi
    N. Mahdavi-Amiri
    [J]. Computational Optimization and Applications, 2012, 52 : 239 - 266
  • [8] A globally and superlinearly convergent trust region method for LC1 optimization problems
    Zhang L.
    Lai Y.
    [J]. Applied Mathematics-A Journal of Chinese Universities, 2001, 16 (1) : 72 - 80
  • [9] Two algorithms for LC1 unconstrained optimization
    Sun, WY
    de Sampaio, RJB
    Yuan, JY
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2000, 18 (06) : 621 - 632
  • [10] A filter-trust-region method for simple-bound constrained optimization
    Sainvitu, Caroline
    Toint, Philippe L.
    [J]. OPTIMIZATION METHODS & SOFTWARE, 2007, 22 (05): : 835 - 848