scholarly journals The spectral symmetry of weakly irreducible nonnegative tensors and connected hypergraphs

2018 ◽  
Vol 372 (3) ◽  
pp. 2213-2233 ◽  
Author(s):  
Yi-Zheng Fan ◽  
Tao Huang ◽  
Yan-Hong Bao ◽  
Chen-Lu Zhuan-Sun ◽  
Ya-Ping Li
Keyword(s):  
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 On weakly irreducible nonnegative tensors and interval hull of some classes of tensors

2015 ◽  
Vol 64 (4) ◽  
pp. 667-679 ◽  
Author(s):  
M. Rajesh Kannan ◽  
Naomi Shaked-Monderer ◽  
Abraham Berman
Keyword(s):  
Nonnegative Tensors ◽  
Weakly Irreducible ◽  
Interval Hull

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.

The minimal radical and weakly irreducible groups

1973 ◽  
Vol 13 (3) ◽  
pp. 269-273
Author(s):  
K. K. Shchukin
Keyword(s):  
Weakly Irreducible

scholarly journals Fast Decomposition of Large Nonnegative Tensors

2015 ◽  
Vol 22 (7) ◽  
pp. 862-866 ◽  
Author(s):  
Jeremy E. Cohen ◽  
Rodrigo Cabral Farias ◽  
Pierre Comon
Keyword(s):  
Nonnegative Tensors ◽  
Fast Decomposition

scholarly journals Spectral Inequalities for Nonnegative Tensors and Their Tropical Analogues

2020 ◽  
Vol 48 (4) ◽  
pp. 893-928
Author(s):  
Shmuel Friedland ◽  
Stéphane Gaubert
Keyword(s):  
Nonnegative Tensors

scholarly journals Spectral theory of nonnegative tensors

2013 ◽  
Vol 8 (1) ◽  
pp. 1-1 ◽  
Author(s):  
Qingzhi Yang ◽  
Liping Zhang ◽  
Tan Zhang ◽  
Guanglu Zhou
Keyword(s):  
Spectral Theory ◽  
Nonnegative Tensors
Sign in / Sign up

Export Citation Format

Share Document