Perron-Frobenius theory and max-plus algebra on tensors

In this paper we generalize the max plus algebra system of real matrices to the class ofreal tensors and derive its fundamental properties. Also we de ne the weakly nite tensorand the new version of the Perron Frobenius theory for some class of weakly nite tensors isgiven.

کلیدواژه ها:

weakly nite tensor ، Max plus algebra ، Eigenvalue ، Perron Frobenius Theorem.