Some upper bounds on Zt-eigenvalues of tensors

Abstract

In this paper, we give upper bounds on Zt-spectral radius of a tensor A(t=1,2), which extend the upper bounds of Brauer to tensors. Moreover, an upper bound on the Z1-spectral radius is proposed via modulus sum of the entries of certain dimension of A, which improves the upper bound given by Li et al. Numerical experiments are given to illustrate the utility of the upper bound.