BOUNDS FOR THE SPECTRAL RADIUS OF NONNEGATIVE TENSORS

被引：6
|
作者：
Li, Chaoqian [1 ]
Wang, Yaqiang [2 ]
Yi, Jieyi [3 ]
Li, Yaotang [1 ]
机构：
[1] Yunnan Univ, Sch Math & Stat, Kunming, Peoples R China
[2] Baoji Univ Arts & Sci, Inst Math & Informat Sci, Baoji, Peoples R China
[3] Beijing Normal Univ, Math Sci Coll, Beijing 100875, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2016年 / 12卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Spectral radius; nonnegative tensor; partitioned tensor; Perron-Frobenius theorem; bounds; PERRON-FROBENIUS THEOREM; LARGEST EIGENVALUE; APPROXIMATION; RANK-1;
D O I：
10.3934/jimo.2016.12.975
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Lower bounds and upper bounds for the spectral radius of a non negative tensor are provided. And it is proved that these bounds are better than the corresponding bounds in [Y. Yang, Q. Yang, Further results for Perron-Frobenius Theorem for nonnegative tensors, SIAM. J. Matrix Anal. Appl. 31 (2010), 2517-25301.
引用
收藏
页码：975 / 990
页数：16
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