Bound Estimations on the Eigenvalues for Fan Product of $M$-tensors

Source abstract

In this paper, we first explore some properties of $M$-tensors by showing that the Fan product of two $M$-tensors is an $M$-tensor, then establish lower bound estimations and upper bound estimations on the minimal eigenvalues of for Fan product of two $M$-tensors. Some inclusion relations among them are also obtained.