On Some Spectral Radius Inequalities for the Hadamard Product of Nonnegative Tensors

The spectral radius of nonnegative tensor which is one of the significant research topics in tensor analysis has been extensively concerned by scholars. In this paper, we introduce the Hadamard product of tensors as a useful tool, and then present some inequalities with simple and elegant forms characterizing the upper bound on spectral radius for the Hadamard product of nonnegative tensors. Furthermore, the theoretical comparisons between the newly proposed upper bounds on spectral radius for the Hadamard product of nonnegative tensors are investigated and established. To further illustrate the effectiveness of the main results, some numerical examples are considered.