Bounds for spectral radius of nonnegative tensors using matrix-digragh-based approach

Guimin Liu; Hongbin Lv

doi:10.3934/jimo.2021176

Article Contents

2023, Volume 19, Issue 1: 105-116. Doi: 10.3934/jimo.2021176

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Bounds for spectral radius of nonnegative tensors using matrix-digragh-based approach

Guimin Liu and
Hongbin Lv^,

School of Mathematics and Statistics, Beihua University, Jilin, China

^* Corresponding author: Hongbin Lv
^* Corresponding author: Hongbin Lv

Received: March 31, 2021

Revised: July 31, 2021

Early access: October 2021

Published: January 2023

This work is supported by the Natural Sciences Program of Science and Technology of Jilin Province of China(20190201139JC)

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Abstract

We obtain the improved results of the upper and lower bounds for the spectral radius of a nonnegative tensor by its majorization matrix's digraph. Numerical examples are also given to show that our results are significantly superior to the results of related literature.

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Mathematics Subject Classification: Primary: 15A18, 15A69.

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References

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