scholarly journals Eigenvariety of nonnegative symmetric weakly irreducible tensors associated with spectral radius and its application to hypergraphs

2019 ◽  
Vol 564 ◽  
pp. 72-94 ◽  
Author(s):  
Yi-Zheng Fan ◽  
Yan-Hong Bao ◽  
Tao Huang
Keyword(s):  
Spectral Radius ◽  
Irreducible Tensors ◽  
Weakly Irreducible

Sharp bounds for spectral radius of nonnegative weakly irreducible tensors

2019 ◽  
Vol 14 (5) ◽  
pp. 989-1015 ◽  
Author(s):  
Lihua You ◽  
Xiaohua Huang ◽  
Xiying Yuan
Keyword(s):  
Spectral Radius ◽  
Sharp Bounds ◽  
Irreducible Tensors ◽  
Weakly Irreducible

scholarly journals Characterizations of the spectral radius of nonnegative weakly irreducible tensors via a digraph

2015 ◽  
Vol 64 (4) ◽  
pp. 737-744 ◽  
Author(s):  
Lizhu Sun ◽  
Baodong Zheng ◽  
Yimin Wei ◽  
Changjiang Bu
Keyword(s):  
Spectral Radius ◽  
Irreducible 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.

SPECTRAL RADIUS OF NONSINGULAR TRANSFORMATIONS

1989 ◽  
Vol 15 (1) ◽  
pp. 275
Author(s):  
NADKARNI ◽  
ROBERTSON
Keyword(s):  
Spectral Radius

scholarly journals On Gibbs Measures and Spectra of Ruelle Transfer Operators

2017 ◽  
Vol 60 (2) ◽  
pp. 411-421
Author(s):  
Luchezar Stoyanov
Keyword(s):  
Spectral Radius ◽  
Spectral Properties ◽  
Gibbs Measures ◽  
Transfer Operator ◽  
Frobenius Theorem ◽  
Transfer Operators

AbstractWe prove a comprehensive version of the Ruelle–Perron–Frobenius Theorem with explicit estimates of the spectral radius of the Ruelle transfer operator and various other quantities related to spectral properties of this operator. The novelty here is that the Hölder constant of the function generating the operator appears only polynomially, not exponentially as in previously known estimates.

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