Some Ostrowski-type bound estimations of spectral radius for weakly irreducible nonnegative tensors

Abstract

In this paper, by characterizing the ratio of the smallest and largest values of a Perron vector, we propose some Ostrowski-type bound estimations for the spectral radius of weakly irreducible nonnegative tensors which improve the existing results. Based on Brualdi-type eigenvalue inclusion sets and Gershgorin eigenvalue inclusion sets, we establish some new Ky Fan-type theorems for weakly irreducible nonnegative tensors.