A MODIFIED CONJUGATE-DESCENT METHOD AND ITS GLOBAL CONVERGENCE

被引：0
|
作者：
Li, Min [2 ]
Li, Dong-Hui [1 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[2] Huaihua Univ, Dept Math & Appl Math, Huaihua 418008, Peoples R China
来源：
PACIFIC JOURNAL OF OPTIMIZATION | 2012年 / 8卷 / 02期
关键词：
unconstrained optimization; Conjugate-Descent method; sufficient descent direction; global convergence; GRADIENT METHOD; LINE SEARCH; GUARANTEED DESCENT; ASCENT METHODS; OPTIMIZATION; ALGORITHM;
D O I：
暂无
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：
In this paper, we make a modification to the Conjugate-Descent (CD) method and propose a descent CD method. The method can generate sufficient descent directions for the objective function. Under mild conditions we show that the method is globally convergent if the Armijo line search or the standard Wolfe line search is used. The numerical results show that the proposed descent CD method is efficient.
引用
收藏
页码：247 / 259
页数：13
相关论文
共 50 条
  • [31] A New Modified Three-Term Hestenes-Stiefel Conjugate Gradient Method with Sufficient Descent Property and Its Global Convergence
    Baluch, Bakhtawar
    Salleh, Zabidin
    Alhawarat, Ahmad
    JOURNAL OF OPTIMIZATION, 2018, 2018
  • [32] A modified descent Polak–Ribiére–Polyak conjugate gradient method with global convergence property for nonconvex functions
    Zohre Aminifard
    Saman Babaie-Kafaki
    Calcolo, 2019, 56
  • [33] A modified descent Polak-Ribiere-Polyak conjugate gradient method with global convergence property for nonconvex functions
    Aminifard, Zohre
    Babaie-Kafaki, Saman
    CALCOLO, 2019, 56 (02)
  • [34] A Conjugate Gradient Method With Sufficient Descent And Global Convergence For Unconstrained Nonlinear Optimization
    Liu, Hailin
    Cheng, Sui Sun
    Li, Xiaoyong
    APPLIED MATHEMATICS E-NOTES, 2011, 11 : 139 - 147
  • [35] Global convergence of a class of unconstrained optimal methods included conjugate descent method
    Du, X.
    Ye, L.
    Xu, C.
    Gongcheng Shuxue Xuebao/Chinese Journal of Engineering Mathematics, 2001, 18 (02): : 119 - 122
  • [36] Global convergence of a descent PRP type conjugate gradient method for nonconvex optimization
    Hu, Qingjie
    Zhang, Hongrun
    Chen, Yu
    APPLIED NUMERICAL MATHEMATICS, 2022, 173 : 38 - 50
  • [37] Global Convergence of Modified RMIL Parametein Conjugate Gradient Method
    Wahyuningtias, Laily Dwi Retno
    Salmah
    Engineering Letters, 2023, 31 (03) : 1181 - 1190
  • [38] Global convergence of a modified LS nonlinear conjugate gradient method
    Liu, Jinkui
    Feng, Yuming
    CEIS 2011, 2011, 15
  • [39] Global Convergence Of A New Modified PRP Conjugate Gradient Method
    Yong, Li
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 2287 - 2290
  • [40] Global convergence of a modified spectral FR conjugate gradient method
    Du, Shou-qiang
    Chen, Yuan-yuan
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) : 766 - 770
12345