We show that an order dimension 2 tensor is primitive if and only if its majorization matrix is primitive, and then we obtain the characterization of order dimension 2 strongly primitive tensors and the bound of the strongly primitive degree. Furthermore, we study the properties of strongly primitive tensors with and propose some problems for further research.
"Some Properties of the Strong Primitivity of Nonnegative Tensors." J. Appl. Math. 2018 1 - 9, 2018. https://doi.org/10.1155/2018/5241490