Convergence of supermemory gradient method

被引：2
|
作者：
Shi Z.-J. [1 ,2 ,3 ,4 ]
Shen J. [1 ,4 ]
机构：
[1] Department of Computer and Information Science, University of Michigan, Dearborn
[2] College of Operations Reaserch and Management, Qufu Normal University, Rizhao
[3] Department of Computer and Information Science, University of Michigan-Dearborn, Michigan
来源：
J. Appl. Math. Comp. | 2007年 / 1-2卷 / 367-376期
基金：
美国国家科学基金会;
关键词：
Global convergence; Supermemory gradient method; Unconstrained optimization;
D O I：
10.1007/BF02832325
中图分类号：
学科分类号：
摘要：
In this paper we consider the global convergence of a new supermemory gradient method for unconstrained optimization problems. New trust region radius is proposed to make the new method converge stably and averagely, and it will be suitable to solve large scale minimization problems. Some global convergence results are obtained under some mild conditions. Numerical results show that this new method is effective and stable in practical computation. © 2007 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.
引用
收藏
页码：367 / 376
页数：9
相关论文
共 50 条
  • [21] LINEAR CONVERGENCE OF CONJUGATE GRADIENT METHOD
    CROWDER, H
    WOLFE, P
    IBM JOURNAL OF RESEARCH AND DEVELOPMENT, 1972, 16 (04) : 431 - &
  • [22] A RESTRICTED TRUST REGION METHOD WITH SUPERMEMORY FOR UNCONSTRAINED OPTIMIZATION
    L.P. Sun(Department of Mathematics
    JournalofComputationalMathematics, 1996, (03) : 195 - 202
  • [23] Convergence of approximated gradient method for Elman network
    Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, China
    Neural Network World, 2008, 3 (171-180)
  • [24] GLOBAL CONVERGENCE OF ROSEN GRADIENT PROJECTION METHOD
    DU, DZ
    ZHANG, XS
    MATHEMATICAL PROGRAMMING, 1989, 44 (03) : 357 - 366
  • [25] SOME CONVERGENCE PROPERTIES OF CONJUGATE GRADIENT METHOD
    POWELL, MJD
    MATHEMATICAL PROGRAMMING, 1976, 11 (01) : 42 - 49
  • [26] CONVERGENCE OF THE CONJUGATE GRADIENT METHOD WITH UNBOUNDED OPERATORS
    Caruso, Noe
    Michelangeli, Alessandro
    OPERATORS AND MATRICES, 2022, 16 (01): : 35 - 68
  • [27] A note on the convergence of alternating proximal gradient method
    Chao, Miantao
    Cheng, Caozong
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 : 258 - 263
  • [28] Deterministic Convergence of an Online Gradient Method with Momentum
    Zhang, Naimin
    INTELLIGENT COMPUTING, PART I: INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING, ICIC 2006, PART I, 2006, 4113 : 94 - 105
  • [29] The Global Convergence Properties of a Conjugate Gradient Method
    Omer, Osman
    Mamat, Mustafa
    Abashar, Abdelrhaman
    Rivaie, Mohd
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 : 286 - 295
  • [30] On the convergence of the projected gradient method for vector optimization
    Fukuda, Ellen H.
    Grana Drummond, L. M.
    OPTIMIZATION, 2011, 60 (8-9) : 1009 - 1021
12345