Some bounds for the spectral radius of nonnegative tensors

2014 ◽  
Vol 130 (2) ◽  
pp. 315-335 ◽  
Author(s):  
Wen Li ◽  
Michael K. Ng
Keyword(s):  
Spectral Radius ◽  
Nonnegative Tensors

scholarly journals Some inequalities on the spectral radius of nonnegative tensors

2020 ◽  
Vol 18 (1) ◽  
pp. 262-269
Author(s):  
Chao Ma ◽  
Hao Liang ◽  
Qimiao Xie ◽  
Pengcheng Wang
Keyword(s):  
Spectral Radius ◽  
Nonnegative Tensors

Abstract The eigenvalues and the spectral radius of nonnegative tensors have been extensively studied in recent years. In this paper, we investigate the analytic properties of nonnegative tensors and give some inequalities on the spectral radius.

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

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Guimin Liu ◽  
Hongbin Lv
Keyword(s):  
Spectral Radius ◽  
Lower Bounds ◽  
Upper And Lower Bounds ◽  
Nonnegative Tensor ◽  
Related Literature ◽  
Numerical Examples ◽  
Nonnegative Tensors

<p style='text-indent:20px;'>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.</p>

The bounds on spectral radius of nonnegative tensors via general product of tensors

2020 ◽  
Vol 602 ◽  
pp. 206-215
Author(s):  
Chunli Deng ◽  
Hongmei Yao ◽  
Changjiang Bu
Keyword(s):  
Spectral Radius ◽  
Nonnegative Tensors ◽  
General Product

scholarly journals Bounds for the Z-spectral radius of nonnegative tensors

SpringerPlus ◽  
2016 ◽  
Vol 5 (1) ◽  
Author(s):  
Jun He ◽  
Yan-Min Liu ◽  
Hua Ke ◽  
Jun-Kang Tian ◽  
Xiang Li
Keyword(s):  
Spectral Radius ◽  
Nonnegative Tensors

scholarly journals A new estimate for the spectral radius of nonnegative tensors

Filomat ◽  
2018 ◽  
Vol 32 (10) ◽  
pp. 3409-3418 ◽  
Author(s):  
Jingjing Cui ◽  
Guohua Peng ◽  
Quan Lu ◽  
Zhengge Huang
Keyword(s):  
Spectral Radius ◽  
Nonnegative Tensors ◽  
Numerical Example ◽  
Perron Vector

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.

scholarly journals A new bound for the spectral radius of nonnegative tensors

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Suhua Li ◽  
Chaoqian Li ◽  
Yaotang Li
Keyword(s):  
Spectral Radius ◽  
Nonnegative Tensors

scholarly journals Some bounds for the Z-eigenpair of nonnegative tensors

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xiaoyu Ma ◽  
Yisheng Song
Keyword(s):  
Eigenvalue Problem ◽  
Spectral Radius ◽  
Important Research ◽  
Nonnegative Tensor ◽  
Research Topics ◽  
Nonnegative Tensors ◽  
Tensor Theory ◽  
Weakly Symmetric ◽  
Tensor Eigenvalue

Abstract Tensor eigenvalue problem is one of important research topics in tensor theory. In this manuscript, we consider the properties of Z-eigenpair of irreducible nonnegative tensors. By estimating the ratio of the smallest and largest components of a positive Z-eigenvector for a nonnegative tensor, we present some bounds for the eigenvector and Z-spectral radius of an irreducible and weakly symmetric nonnegative tensor. The proposed bounds complement and extend some existing results. Finally, several examples are given to show that such a bound is different from one given in the literature.

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