New Inclusion Sets for the Eigenvalues of Stochastic Tensors

Subject Areas : International Journal of Mathematical Modelling & Computations

Ali Reza Shojaeifard ¹ , Ramin Nasiri ²

1 - Department of Mathematics, Faculty of Sciences, Imam Hossein Comprehensive University, Tehran, Iran.
2 - Department of Mathematics, Faculty of Sciences, Imam Hossein Comprehensive University, Tehran, Iran.

Received: 2021-06-28 Accepted : 2022-01-20 Published : 2022-06-15

Keywords: eigenvalue, Nonnegative tensors, Inclusion sets, Stochastic tensors,

Abstract :

The purpose of this paper is to locate and estimate the eigenvalues of stochastic tensors. We present several estimation theorems about the eigenvalues of stochastic tensors. Meanwhile, we obtain the distribution theorem for the eigenvalues of tensor product of two stochastic tensors. We will conclude the paper with the distribution for the eigenvalues of generalized stochastic tensors.