Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8953101 | Linear Algebra and its Applications | 2018 | 21 Pages |
Abstract
This paper is devoted to deriving some new upper and lower bounds for the minimum H-eigenvalue of irreducible nonsingular M-tensors. We demonstrate that the proposed bounds improve some existing ones and numerical examples are given to illustrate this fact. Additionally, we extend these bounds to general nonsingular M-tensors. The other main results in this paper is to provide sharper Ky Fan theorem and comparison theorem for nonsingular M-tensors which are better than the corresponding ones obtained by He and Huang (2014) [12].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zheng-Ge Huang, Li-Gong Wang, Zhong Xu, Jing-Jing Cui,