A self-adaptive trust region method for extreme B-eigenvalues of symmetric tensors

被引：0
|
作者：
Cao, Mingyuan [1 ]
Huang, Qingdao [1 ]
Yang, Yueting [2 ]
机构：
[1] Jilin Univ, Coll Math, 2699 Qianjin St, Changchun 130000, Jilin, Peoples R China
[2] Beihua Univ, Coll Math & Stat, Jilin 132013, Jilin, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2019年 / 81卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Symmetric tensors; Eigenvalues of tensors; Polynomial optimization; Trust region method; Global convergence;
D O I：
10.1007/s11075-018-0554-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A self-adaptive trust region method is presented for finding the largest or smallest B-eigenvalues of symmetric tensors. One of the important features of this method is that B-eigenvalues problem of symmetric tensors is transformed into a homogenous polynomial optimization. Global convergence of the proposed algorithm and second-order necessary conditions of the optimal solutions are established, respectively. Numerical experiments are listed to illustrate the efficiency of the proposed method.
引用
收藏
页码：407 / 420
页数：14
相关论文
共 50 条
  • [21] A Larger Step-Size Line Search Self-adaptive Trust Region Method and Its Convergence
    Feng, Lin
    PROCEEDINGS OF 2016 INTERNATIONAL CONFERENCE ON MODELING, SIMULATION AND OPTIMIZATION TECHNOLOGIES AND APPLICATIONS (MSOTA2016), 2016, 58 : 330 - 334
  • [22] Self-adaptive extreme learning machine
    Gai-Ge Wang
    Mei Lu
    Yong-Quan Dong
    Xiang-Jun Zhao
    Neural Computing and Applications, 2016, 27 : 291 - 303
  • [23] Self-adaptive extreme learning machine
    Wang, Gai-Ge
    Lu, Mei
    Dong, Yong-Quan
    Zhao, Xiang-Jun
    NEURAL COMPUTING & APPLICATIONS, 2016, 27 (02): : 291 - 303
  • [24] A Nonmonotone Weighting Self-Adaptive Trust Region Algorithm for Unconstrained Nonconvex Optimization
    Lu, Yunlong
    Yang, Weiwei
    Li, Wenyu
    Jiang, Xiaowei
    Yang, Yueting
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
  • [25] Extreme Interval Entropy Based on Symbolic Analysis and a Self-Adaptive Method
    Xu, Zhuofei
    Shi, Yuxia
    Zhao, Qinghai
    Li, Wei
    Liu, Kai
    ENTROPY, 2019, 21 (03):
  • [26] Towards Understanding Trust in Self-adaptive Systems
    Van Landuyt, Dimitri
    Halasz, David
    Verreydt, Stef
    Weyns, Danny
    PROCEEDINGS OF THE 2024 IEEE/ACM 19TH SYMPOSIUM ON SOFTWARE ENGINEERING FOR ADAPTIVE AND SELF-MANAGING SYSTEMS, SEAMS 2024, 2024, : 207 - 213
  • [27] An accelerated conjugate gradient method for the Z-eigenvalues of symmetric tensors
    Cao, Mingyuan
    Yang, Yueting
    Li, Chaoqian
    Jiang, Xiaowei
    AIMS MATHEMATICS, 2023, 8 (07): : 15008 - 15023
  • [28] Self-Adaptive Evolutionary Extreme Learning Machine
    Jiuwen Cao
    Zhiping Lin
    Guang-Bin Huang
    Neural Processing Letters, 2012, 36 : 285 - 305
  • [29] Self-Adaptive Evolutionary Extreme Learning Machine
    Cao, Jiuwen
    Lin, Zhiping
    Huang, Guang-Bin
    NEURAL PROCESSING LETTERS, 2012, 36 (03) : 285 - 305
  • [30] A self-adaptive projection and contraction method for monotone symmetric linear variational inequalities
    Liao, LZ
    Wang, SL
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (1-2) : 41 - 48
12345