A new bound for the spectral radius of nonnegative tensors

Abstract

Abstract By estimating the ratio of the smallest component and the largest component of a Perron vector, we provide a new bound for the spectral radius of a nonnegative tensor. And it is proved that the proposed result improves the bound in (Li and Ng in Numer. Math. 130(2):315-335, 2015).

Keywords

• nonnegative tensor
• weakly irreducible
• spectral radius
• Perron eigenpair