An S-type eigenvalue localization set for tensors
Spectral Theory
2015-10-20 v1
Abstract
An S-type eigenvalue localization set for a tensor is given by breaking N={1,2,...,n} into disjoint subsets S and its complement. It is shown that the new set is tighter than those provided by L. Qi (Journal of Symbolic Computation 40 (2005) 1302-1324) and Li et al. (Numer. Linear Algebra Appl. 21 (2014) 39-50). As applications of the results, a checkable sufficient condition for the positive definiteness of tensors and a checkable sufficient condition of the positive semi-definiteness of tensors are given.
Keywords
Cite
@article{arxiv.1510.05207,
title = {An S-type eigenvalue localization set for tensors},
author = {Chaoqian Li and Aiquan Jiao and Yaotang Li},
journal= {arXiv preprint arXiv:1510.05207},
year = {2015}
}