A New Estimate for the Spectral Radius of Nonnegative Tensors

被引：1
|
作者：
Cui, Jingjing [1 ]
Peng, Guohua [1 ]
Lu, Quan [1 ]
Huang, Zhengge [1 ]
机构：
[1] Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
来源：
FILOMAT | 2018年 / 32卷 / 10期
基金：
中国国家自然科学基金;
关键词：
nonnegative tensors; weakly irreducible; spectral radius; Perron eigenpair; PERRON-FROBENIUS THEOREM; LARGEST EIGENVALUE; SET;
D O I：
10.2298/FIL1810409C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the spectral radius of nonnegative tensors. By estimating the ratio of the smallest component and the largest component of a Perron vector, a new bound for the spectral radius of nonnegative tensors is obtained. It is proved that the new bound improves some existing ones. Finally, a numerical example is implemented to show the effectiveness of the proposed bound.
引用
收藏
页码：3409 / 3418
页数：10
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