Global Convergence of the Broyden's Class of Quasi-Newton Methods with Nonmonotone Linesearch

被引:0
|
作者
Da-chuan Xu
机构
[1] Chinese Academy of Sciences,Institute of Applied Mathematics, Academy of Mathematics and System Sciences
关键词
Quasi-Newton method; Broyden class; non-monotone linesearch; global convergence; unconstrained optimization; 65K; 90C;
D O I
10.1007/s10255-003-0076-4
中图分类号
学科分类号
摘要
In this paper, the Broyden class of quasi-Newton methods for unconstrained optimization is investigated. Non-monotone linesearch procedure is introduced, which is combined with the Broyden's class. Under the convexity assumption on objective function, the global convergence of the Broyden's class is proved.
引用
收藏
页码:19 / 24
页数:5
相关论文
共 50 条
  • [31] Exact linesearch limited-memory quasi-Newton methods for minimizing a quadratic function
    Ek, David
    Forsgren, Anders
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2021, 79 (03) : 789 - 816
  • [32] Nonmonotone Wolfe-type quasi-Newton methods for multiobjective optimization problems
    Upadhayay, Ashutosh
    Ghosh, Debdas
    Kumar, Krishan
    OPTIMIZATION, 2025,
  • [33] Solving nonlinear systems of equations by means of quasi-Newton methods with a nonmonotone strategy
    Friedlander, A
    GomesRuggiero, MA
    Kozakevich, DN
    Martinez, JM
    Santos, SA
    OPTIMIZATION METHODS & SOFTWARE, 1997, 8 (01): : 25 - 51
  • [34] A Survey of Quasi-Newton Equations and Quasi-Newton Methods for Optimization
    Chengxian Xu
    Jianzhong Zhang
    Annals of Operations Research, 2001, 103 : 213 - 234
  • [35] Solving nonlinear systems of equations by means of quasi-Newton methods with a nonmonotone strategy
    Friedlander, Ana
    Gomes-Ruggiero, Marcia A.
    Kozakevich, Daniel N.
    Martinez, Jose Mario
    Santos, Sandra Augusta
    Optimization Methods and Software, 1997, 8 (01): : 25 - 51
  • [36] Survey of quasi-Newton equations and quasi-Newton methods for optimization
    Xu, CX
    Zhang, JZ
    ANNALS OF OPERATIONS RESEARCH, 2001, 103 (1-4) : 213 - 234
  • [37] Broyden's quasi-Newton methods for a nonlinear system of equations and unconstrained optimization: a review and open problems
    Al-Baali, Mehiddin
    Spedicato, Emilio
    Maggioni, Francesca
    OPTIMIZATION METHODS & SOFTWARE, 2014, 29 (05): : 937 - 954
  • [38] Newton and quasi-Newton methods for a class of nonsmooth equations and related problems
    Sun, DF
    Han, JY
    SIAM JOURNAL ON OPTIMIZATION, 1997, 7 (02) : 463 - 480
  • [39] Quasi-Newton Acceleration of EM and MM Algorithms via Broyden's Method
    Agarwal, Medha
    Xu, Jason
    JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2024, 33 (02) : 393 - 406
  • [40] CHARACTERIZATION OF SUPERLINEAR CONVERGENCE AND ITS APPLICATION TO QUASI-NEWTON METHODS
    DENNIS, JE
    MORE, JJ
    MATHEMATICS OF COMPUTATION, 1974, 28 (126) : 549 - 560