Some Results on the Hadamard Product of Tensors

被引：4
|
作者：
Xu, Yangyang [1 ]
Li, Yaotang [2 ]
Li, Zhengbo [3 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
[2] Yunnan Univ, Sch Math & Stat, Kunming 650000, Yunnan, Peoples R China
[3] Guizhou Univ Finance & Econ, Sch Business, Guiyang 550600, Guizhou, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2019年 / 45卷 / 04期
基金：
中国国家自然科学基金;
关键词：
The Hadamard product; Fundamental properties; Structured tensors; The spectral radius; PERRON-FROBENIUS THEOREM; POSITIVE TENSORS; FAN PRODUCT; M-MATRIX; INEQUALITIES; EIGENVALUES; BOUNDS;
D O I：
10.1007/s41980-018-00193-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, some fundamental properties of the Hadamard product of tensors are discussed. The closure of several classes of structured tensors under the Hadamard product is studied. As its important application, we present an upper bound on the spectral radius of the Hadamard product of nonnegative tensors. Moreover, we also provide some important inequalities on the spectral radius of the Hadamard products of the Hadamard powers for nonnegative tensors. Some numerical examples are reported to verify the effectiveness of our theoretical results.
引用
收藏
页码：1193 / 1219
页数：27
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