MODIFIED LIMITED MEMORY BFGS METHOD WITH NONMONOTONE LINE SEARCH FOR UNCONSTRAINED OPTIMIZATION

被引:20
|
作者
Yuan, Gonglin [1 ]
Wei, Zengxin [1 ]
Wu, Yanlin [1 ]
机构
[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
关键词
limited memory BFGS method; optimization; nonmonotone; global convergence; QUASI-NEWTON METHODS; CONJUGATE-GRADIENT METHODS; GLOBAL CONVERGENCE; SUPERLINEAR CONVERGENCE; PARTITIONED BFGS; ALGORITHM;
D O I
10.4134/JKMS.2010.47.4.767
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we propose two limited memory BFGS algorithms with a nonmonotone line search technique for unconstrained optimization problems. The global convergence of the given methods will be established under suitable conditions. Numerical results show that the presented algorithms are more competitive than the normal BFGS method.
引用
收藏
页码:767 / 788
页数:22
相关论文
共 50 条
  • [1] A modified nonmonotone BFGS algorithm for unconstrained optimization
    Li, Xiangrong
    Wang, Bopeng
    Hu, Wujie
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [2] A modified nonmonotone BFGS algorithm for unconstrained optimization
    Xiangrong Li
    Bopeng Wang
    Wujie Hu
    [J]. Journal of Inequalities and Applications, 2017
  • [3] Adaptive nonmonotone line search method for unconstrained optimization
    Qunyan Zhou
    Wenyu Sun
    [J]. Frontiers of Mathematics in China, 2008, 3 : 133 - 148
  • [4] Adaptive nonmonotone line search method for unconstrained optimization
    Zhou, Qunyan
    Sun, Wenyu
    [J]. FRONTIERS OF MATHEMATICS IN CHINA, 2008, 3 (01) : 133 - 148
  • [5] New BFGS method for unconstrained optimization problem based on modified Armijo line search
    Wan, Zhong
    Teo, Kok Lay
    Shen, XianLong
    Hu, ChaoMing
    [J]. OPTIMIZATION, 2014, 63 (02) : 285 - 304
  • [6] A Nonmonotone Modified BFGS Algorithm for Nonconvex Unconstrained Optimization Problems
    Amini, Keyvan
    Bahrami, Somayeh
    Amiri, Shadi
    [J]. FILOMAT, 2016, 30 (05) : 1283 - 1296
  • [7] A nonmonotone line search method and its convergence for unconstrained optimization
    Cui, Zhaocheng
    Yang, Zhenqi
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2013, 19 (04) : 517 - 520
  • [8] A TRUNCATED NEWTON METHOD WITH NONMONOTONE LINE SEARCH FOR UNCONSTRAINED OPTIMIZATION
    GRIPPO, L
    LAMPARIELLO, F
    LUCIDI, S
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1989, 60 (03) : 401 - 419
  • [9] A nonmonotone filter line search technique for the MBFGS method in unconstrained optimization
    Zhujun Wang
    Detong Zhu
    [J]. Journal of Systems Science and Complexity, 2014, 27 : 565 - 580
  • [10] A NONMONOTONE FILTER LINE SEARCH TECHNIQUE FOR THE MBFGS METHOD IN UNCONSTRAINED OPTIMIZATION
    WANG Zhujun
    ZHU Detong
    [J]. Journal of Systems Science & Complexity, 2014, 27 (03) : 565 - 580