On weakly irreducible nonnegative tensors and interval hull of some   classes of tensors
  In this article we prove the strict monotonicity of the spectral radius of weakly irreducible nonnegative tensors. As an application, we give a necessary and sufficient condition for an interval hull of tensors to be contained in the set of all strong $\mathcal{M}$-tensors. We also establish some properties of $\mathcal{M}$-tensors. Finally, we consider some problems related to interval hull of positive (semi)definite tensors and $P(P_0)$-tensors. 
M. Rajesh Kannan, Naomi Shaked-Monderer and Abraham Berman
math.SP