A new S-type eigenvalue inclusion set for tensors and its applicationsReport as inadecuate




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Journal of Inequalities and Applications

, 2016:254

First Online: 19 October 2016Received: 27 April 2016Accepted: 05 October 2016

Abstract

In this paper, a new S-type eigenvalue localization set for a tensor is derived by dividing \N=\{1,2,\ldots,n\}\ into disjoint subsets S and its complement. It is proved that this new set is sharper than those presented by Qi J. Symb. Comput. 40:1302-1324, 2005, Li et al. Numer. Linear Algebra Appl. 21:39-50, 2014 and Li et al. Linear Algebra Appl. 481:36-53, 2015. As applications of the results, new bounds for the spectral radius of nonnegative tensors and the minimum H-eigenvalue of strong M-tensors are established, and we prove that these bounds are tighter than those obtained by Li et al. Numer. Linear Algebra Appl. 21:39-50, 2014 and He and Huang J. Inequal. Appl. 2014:114, 2014.

Keywordstensor eigenvalue nonsingular M-tensor minimum H-eigenvalue nonnegative tensor spectral radius positive definite MSC15A18 15A69  Download fulltext PDF



Author: Zheng-Ge Huang - Li-Gong Wang - Zhong Xu - Jing-Jing Cui

Source: https://link.springer.com/







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