New Inclusion Sets for the Eigenvalues of Stochastic Tensors

محورهای موضوعی : فصلنامه ریاضی

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.

تاریخ دریافت : 1400/04/07 تاریخ پذیرش : 1400/10/30 تاریخ انتشار : 1401/03/25

کلید واژه: eigenvalue, Nonnegative tensors, Inclusion sets, Stochastic tensors,

چکیده مقاله :

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.