The superlinear convergence analysis of a nonmonotone BFGS algorithm on convex objective functions

被引:19
|
作者
Yuan, Gong Lin [1 ]
Wei, Zeng Xin
机构
[1] E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China
基金
美国国家科学基金会;
关键词
BFGS method; superlinear convergence; nonmonotone linesearch;
D O I
10.1007/s10114-007-1012-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the superlinear convergence of a nonmonotone BFGS algorithm on convex objective functions under suitable conditions.
引用
收藏
页码:35 / 42
页数:8
相关论文
共 50 条
  • [21] The BFGS method with exact line searches fails for non-convex objective functions
    Mascarenhas, WF
    [J]. MATHEMATICAL PROGRAMMING, 2004, 99 (01) : 49 - 61
  • [22] The global convergence of self-scaling BFGS algorithm with nonmonotone line search for unconstrained nonconvex optimization problems
    Yin, Hong Xia
    Du, Dong Lei
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (07) : 1233 - 1240
  • [23] The Global Convergence of Self-Scaling BFGS Algorithm with Nonmonotone Line Search for Unconstrained Nonconvex Optimization Problems
    Hong Xia Yin
    Dong Lei Du
    [J]. Acta Mathematica Sinica, English Series, 2007, 23 : 1233 - 1240
  • [24] A Nonmonotone Modified BFGS Algorithm for Nonconvex Unconstrained Optimization Problems
    Amini, Keyvan
    Bahrami, Somayeh
    Amiri, Shadi
    [J]. FILOMAT, 2016, 30 (05) : 1283 - 1296
  • [25] The superlinear convergence of a modified BFGS-type method for unconstrained optimization
    Wei, ZX
    Yu, GH
    Yuan, GL
    Lian, ZG
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2004, 29 (03) : 315 - 332
  • [26] A modified nonmonotone BFGS algorithm for solving smooth nonlinear equations
    Wan, Zhong
    Chen, Yu
    Huang, Shuai
    Feng, Dongdong
    [J]. OPTIMIZATION LETTERS, 2014, 8 (06) : 1845 - 1860
  • [27] The Global Convergence of Self-Scaling BFGS Algorithm with Nonmonotone Line Search for Unconstrained Nonconvex Optimization Problems
    Hong Xia YIN
    Dong Lei DU
    [J]. Acta Mathematica Sinica,English Series, 2007, 23 (07) : 1233 - 1240
  • [28] A modified nonmonotone BFGS algorithm for solving smooth nonlinear equations
    Zhong Wan
    Yu Chen
    Shuai Huang
    Dongdong Feng
    [J]. Optimization Letters, 2014, 8 : 1845 - 1860
  • [29] The Superlinear Convergence of a Modified BFGS-Type Method for Unconstrained Optimization
    Zengxin Wei
    Gaohang Yu
    Gonglin Yuan
    Zhigang Lian
    [J]. Computational Optimization and Applications, 2004, 29 : 315 - 332
  • [30] Convergence rates of evolutionary algorithms for a class of convex objective functions
    Rudolph, G
    [J]. CONTROL AND CYBERNETICS, 1997, 26 (03): : 375 - 390