Relationships between Brauer-type eigenvalue inclusion sets and a Brualdi-type eigenvalue inclusion set for tensors

The comparisons of the Brualdi-type eigenvalue inclusion set provided by Bu et al. (2015) [3] and the Brauer-type eigenvalue inclusion set provided by Li and Li (2015) [6], are established. In particular, a condition such that the Brualdi-type eigenvalue inclusion set is tighter than the Brauer-type eigenvalue inclusion set, is given.