Quasi-Double Diagonally Dominant H-Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative Tensors

被引：1

作者：

Wang, Xincun ^{[1
]}

Lv, Hongbin ^{[2
]}

机构：

[1] Eastern Liaoning Univ, Teachers Coll, Dandong 118003, Peoples R China

[2] Beihua Univ, Sch Math & Stat, Jilin 132013, Peoples R China

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 02期

关键词：

quasi-double diagonally dominant H-tensor; M-tensor; decision condition; nonnegative tensor; spectral radius; estimation inequality; PERRON-FROBENIUS THEOREM; EIGENVALUES;

D O I：

10.3390/sym15020439

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 study two classes of quasi-double diagonally dominant tensors and prove they are H-tensors. Numerical examples show that two classes of H-tensors are mutually exclusive. Thus, we extend the decision conditions of H-tensors. Based on these two classes of tensors, two estimation inequalities for the upper and lower bounds for the spectral radius of nonnegative tensors are obtained.

引用

页数：16

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