Bounds for the Z-spectral radius of nonnegative tensors

被引：19

作者：

He, Jun ^{[1
]}

Liu, Yan-Min ^{[1
]}

Ke, Hua ^{[1
]}

Tian, Jun-Kang ^{[1
]}

Li, Xiang ^{[1
]}

机构：

[1] Zunyi Normal Coll, Sch Math, Zunyi 563002, Guizhou, Peoples R China

来源：

SPRINGERPLUS | 2016年 / 5卷

关键词：

Bound; Nonnegative tensor; Z-eigenvalue; PERRON-FROBENIUS THEOREM; LARGEST EIGENVALUE;

D O I：

10.1186/s40064-016-3338-3

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we have proposed some new upper bounds for the largest Z-eigenvalue of an irreducible weakly symmetric and nonnegative tensor, which improve the known upper bounds obtained in Chang et al. (Linear Algebra Appl 438: 4166-4182, 2013), Song and Qi (SIAM J Matrix Anal Appl 34: 1581-1595, 2013), He and Huang (Appl Math Lett 38: 110-114, 2014), Li et al. (J Comput Anal Appl 483: 182-199, 2015), He (J Comput Anal Appl 20: 1290-1301, 2016).

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页数：8

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