Bound Estimations on the Eigenvalues for Fan Product of M-tensors

被引：9
|
作者：
Wang, Gang [1 ]
Wang, Yiju [1 ]
Liu, Lixia [2 ]
机构：
[1] Qufu Normal Univ, Sch Management Sci, Rizhao 276826, Peoples R China
[2] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2019年 / 23卷 / 03期
关键词：
nonnegative tensors; Fan product; M-tensors; PERRON-FROBENIUS THEOREM; HADAMARD PRODUCT; TIME-DELAY; INEQUALITIES; STABILITY; SYSTEMS;
D O I：
10.11650/tjm/180905
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first explore some properties of M-tensors by showing that the Fan product of two M-tensors is an M-tensor, then establish lower bound estimations and upper bound estimations on the minimal eigenvalues of for Fan product of two M-tensors. Some inclusion relations among them are also obtained.
引用
收藏
页码：751 / 766
页数：16
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