Some Bounds of Eigenvalues for Hadamard Product and Fan Product of Tensors

被引：3
作者：
Xu, Yangyang [1 ,2 ]
Zheng, Bing [2 ]
Zhao, Ruijuan [2 ]
机构：
[1] Lanzhou Jiaotong Univ, Sch Math & Phys, Lanzhou 730000, Gansu, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2020年 / 46卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hadamard product; Fan product; Nonnegative tensor; Strong M-tensor; Eigenvalue; Upper and lower bounds; PERRON-FROBENIUS THEOREM; LOCALIZATION SET; INEQUALITIES;
D O I：
10.1007/s41980-019-00307-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, some new upper bounds on the spectral radius of Hadamard product of nonnegative tensors are given. To show their sharpness, the comparisons among these bounds, including the existing one by Sun et al. (Linear Multilinear Algebra 66:1199-1214, 2018), are performed. We also present some lower bounds on the minimum eigenvalue of Fan product of irreducible strong M-tensors and their sharpness under different conditions are investigated. Some numerical examples are provided to illustrate our theoretical results.
引用
收藏
页码：1003 / 1026
页数：24
相关论文
共 31 条
  • [1] [Anonymous], 1985, TOPICS MATRIX ANAL
  • [2] Chang KC, 2008, COMMUN MATH SCI, V6, P507
  • [3] New bounds for the minimum eigenvalue of the fan product of two M-matrices
    Cheng, Guanghui
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (01) : 63 - 68
  • [4] A comprehensive approach to parameters optimization of energy-aware CNC milling
    Li, Congbo
    Li, Lingling
    Tang, Ying
    Zhu, Yantao
    Li, Li
    [J]. JOURNAL OF INTELLIGENT MANUFACTURING, 2019, 30 (01) : 123 - 138
  • [5] M-tensors and nonsingular M-tensors
    Ding, Weiyang
    Qi, Liqun
    Wei, Yimin
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (10) : 3264 - 3278
  • [6] Bounds on eigenvalues of the Hadamard product and the Fan product of matrices
    Fang, Maozhong
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 425 (01) : 7 - 15
  • [7] Hardy G.H., 1934, INEQUALITY
  • [8] Inequalities for M-tensors
    He, Jun
    Huang, Ting-Zhu
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [9] Some inequalities for the Hadamard product and the Fan product of matrices
    Huang, Rong
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (07) : 1551 - 1559
  • [10] Some properties of strong H-tensors and general H-tensors
    Kannan, M. Rajesh
    Shaked-Monderer, Naomi
    Berman, Abraham
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 476 : 42 - 55
1234