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arXiv · 1510.05207

An S-type eigenvalue localization set for tensors

Chaoqian Li·Aiquan Jiao·Yaotang Li
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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.

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Chaoqian Li, Aiquan Jiao, Yaotang Li. 2015-10-18. An S-type eigenvalue localization set for tensors. https://arxiv.org/abs/1510.05207

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