Some inequalities on the spectral radius of nonnegative tensors

被引:1
作者
Ma, Chao [1 ,2 ]
Liang, Hao [3 ]
Xie, Qimiao [4 ]
Wang, Pengcheng [4 ]
机构
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
[2] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
[3] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[4] Shanghai Maritime Univ, Coll Ocean Sci & Engn, Shanghai 201306, Peoples R China
来源
OPEN MATHEMATICS | 2020年 / 18卷
基金
中国国家自然科学基金;
关键词
nonnegative tensor; spectral radius; continuity; Hadamard product; PERRON-FROBENIUS THEOREM; OPTIMIZATION; DECOMPOSITIONS; BOUNDS;
D O I
10.1515/math-2020-0143
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The eigenvalues and the spectral radius of nonnegative tensors have been extensively studied in recent years. In this paper, we investigate the analytic properties of nonnegative tensors and give some inequalities on the spectral radius.
引用
收藏
页码:262 / 269
页数:8
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