A new estimate for the spectral radius of nonnegative tensors

Abstract

In this paper, a new ratio of the smallest component and the largest component of a perron vector is derived in a different approach by Li et al. [1]. Then based on the new ratio, a new bound for the spectral radius of a nonnegative tensor is obtained. It is proved that the new bound is tighter than those provided by Yang et al. [2] and Wang et al. [3]. Finally, a numerical example is implemented to show the effectiveness of the proposed bound.