Brualdi-type eigenvalue inclusion sets of tensors

被引:51
|
作者
Bu, Changjiang [1 ,2 ]
Wei, Yuanpeng [1 ]
Sun, Lizhu [3 ]
Zhou, Jiang [1 ,4 ]
机构
[1] Harbin Engn Univ, Coll Sci, Harbin 150001, Peoples R China
[2] Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China
[3] Harbin Inst Technol, Sch Sci, Harbin 150001, Peoples R China
[4] Harbin Engn Univ, Coll Comp Sci & Technol, Harbin 150001, Peoples R China
基金
中国国家自然科学基金;
关键词
Tensor; Eigenvalue; Digraph; DETERMINANTS; PRODUCT;
D O I
10.1016/j.laa.2015.04.034
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By using digraphs of tensors, we give Brualdi-type eigenvalue inclusion sets of tensors. We also give some applications of our result to nonsingularity and positive definiteness of tensors. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:168 / 175
页数:8
相关论文
共 50 条
  • [1] New Brualdi-type eigenvalue inclusion sets for tensors
    Yao, Hongmei
    Li, Zhen
    Chen, Lixiang
    Bu, Changjiang
    Yao, Hongmei (hongmeiyao@163.com), 1600, Elsevier Inc. (614): : 343 - 355
  • [2] New Brualdi-type eigenvalue inclusion sets for tensors
    Yao, Hongmei
    Li, Zhen
    Chen, Lixiang
    Bu, Changjiang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 614 : 343 - 355
  • [3] Some results on Brauer-type and Brualdi-type eigenvalue inclusion sets for tensors
    Yangyang Xu
    Bing Zheng
    Ruijuan Zhao
    Computational and Applied Mathematics, 2019, 38
  • [4] Some results on Brauer-type and Brualdi-type eigenvalue inclusion sets for tensors
    Xu, Yangyang
    Zheng, Bing
    Zhao, Ruijuan
    COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (02):
  • [5] Relationships between Brauer-type eigenvalue inclusion sets and a Brualdi-type eigenvalue inclusion set for tensors
    Li, Chaoqian
    Li, Yaotang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 496 : 71 - 80
  • [6] BRUALDI-TYPE INEQUALITIES ON THE MINIMUM EIGENVALUE FOR THE FAN PRODUCT OF M-TENSORS
    Wang, Gang
    Wang, Yiju
    Zhang, Yuan
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2020, 16 (05) : 2551 - 2562
  • [7] Brualdi-type inclusion sets of Z-eigenvalues and lk,s-singular values for tensors
    Hongmei Yao
    Li Ma
    Chunmeng Liu
    Changjiang Bu
    Frontiers of Mathematics in China, 2020, 15 : 601 - 612
  • [8] Brualdi-type inclusion sets ofZ-eigenvalues andlk,s-singular values for tensors
    Yao, Hongmei
    Ma, Li
    Liu, Chunmeng
    Bu, Changjiang
    FRONTIERS OF MATHEMATICS IN CHINA, 2020, 15 (03) : 601 - 612
  • [10] Digraphs and inclusion intervals of brualdi-type for singular values
    Li J.-S.
    Yang K.
    Wang Q.-X.
    Acta Mathematicae Applicatae Sinica, 2002, 18 (3) : 471 - 476