Some Ostrowski-type bound estimations of spectral radius for weakly irreducible nonnegative tensors

2019 ◽  
Vol 68 (9) ◽  
pp. 1817-1834 ◽  
Author(s):  
Gang Wang ◽  
Yanan Wang ◽  
Yiju Wang
Keyword(s):  
Spectral Radius ◽  
Nonnegative Tensors ◽  
Weakly Irreducible

scholarly journals A modified S-type eigenvalue localization set of tensors applications

Filomat ◽  
2018 ◽  
Vol 32 (18) ◽  
pp. 6395-6416
Author(s):  
Zhengge Huang ◽  
Ligong Wang ◽  
Zhong Xu ◽  
Jingjing Cui
Keyword(s):  
Spectral Radius ◽  
Linear Algebra ◽  
Lower Bounds ◽  
Upper And Lower Bounds ◽  
Numerical Examples ◽  
Nonnegative Tensors ◽  
Eigenvalue Localization ◽  
Localization Set ◽  
Weakly Irreducible ◽  
Eigenvalues Of Tensors

Based on the S-type eigenvalue localization set developed by Li et al. (Linear Algebra Appl. 493 (2016) 469-483) for tensors, a modified S-type eigenvalue localization set for tensors is established in this paper by excluding some sets from the existing S-type eigenvalue localization set developed by Huang et al. (arXiv: 1602.07568v1, 2016). The proposed set containing all eigenvalues of tensors is much sharper compared with that employed by Li et al. and Huang et al. As its applications, a criteria, which can be utilized for identifying the nonsingularity of tensors, is developed. In addition, we provide new upper and lower bounds for the spectral radius of nonnegative tensors and the minimum H-eigenvalue of weakly irreducible strong M-tensors. These bounds are superior to some previous results, which is illustrated by some numerical examples.

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>

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 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.

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