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
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