A family of supermemory gradient projection methods for constrained optimization

被引:5
|
作者
Wang, YJ [1 ]
Wang, CY
Xiu, NH
机构
[1] Qufu Normal Univ, Inst Operat Res, Qufu 273165, Shandong Prov, Peoples R China
[2] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
[3] No Jiaotong Univ, Dept Appl Math, Beijing 100044, Peoples R China
基金
中国国家自然科学基金;
关键词
projection; supermemory gradient; stationary point;
D O I
10.1080/0233193021000066464
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
A family of supermemory gradient projection methods for solving the convex constrained optimization problem is presented in this article. It is proven to have stronger convergence properties than the traditional gradient projection method. In particular, it is shown to be globally convergent if the objective function is convex.
引用
收藏
页码:889 / 905
页数:17
相关论文
共 50 条
  • [1] A SUPERMEMORY GRADIENT PROJECTION ALGORITHM FOR OPTIMIZATION PROBLEM WITH NONLINEAR CONSTRAINTS
    高自友
    贺国平
    [J]. Acta Mathematicae Applicatae Sinica, 1992, (04) : 323 - 332
  • [2] A FAMILY OF GRADIENT PROJECTION METHODS
    堵丁柱
    [J]. Acta Mathematicae Applicatae Sinica, 1985, (01) : 1 - 13
  • [3] A new class of supermemory gradient methods
    Shi, Zhen-Jun
    Shen, Jie
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (02) : 748 - 760
  • [4] Two adaptive scaled gradient projection methods for Stiefel manifold constrained optimization
    Oviedo, Harry
    Dalmau, Oscar
    Lara, Hugo
    [J]. NUMERICAL ALGORITHMS, 2021, 87 (03) : 1107 - 1127
  • [5] Two adaptive scaled gradient projection methods for Stiefel manifold constrained optimization
    Harry Oviedo
    Oscar Dalmau
    Hugo Lara
    [J]. Numerical Algorithms, 2021, 87 : 1107 - 1127
  • [6] Gradient Based Projection Method for Constrained Optimization
    Mills, Greg
    Krstic, Miroslav
    [J]. 2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 2966 - 2971
  • [7] A nonmonotone supermemory gradient algorithm for unconstrained optimization
    Ou Y.
    Liu Y.
    [J]. Journal of Applied Mathematics and Computing, 2014, 46 (1-2) : 215 - 235
  • [8] A New Supermemory Gradient Method for Unconstrained Optimization
    Zheng, Yue
    Liu, Huanbin
    Liu, June
    [J]. ADVANCING KNOWLEDGE DISCOVERY AND DATA MINING TECHNOLOGIES, PROCEEDINGS, 2009, : 177 - 179
  • [9] Gradient Projection and Conditional Gradient Methods for Constrained Nonconvex Minimization
    Balashov, M. V.
    Polyak, B. T.
    Tremba, A. A.
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 41 (07) : 822 - 849
  • [10] Gradient projection and conditional gradient methods for constrained nonconvex minimization
    Balashov, M.V.
    Polyak, B.T.
    Tremba, A.A.
    [J]. arXiv, 2019,