Title of article :
New Inclusion Sets for the Eigenvalues of Stochastic Tensors
Author/Authors :
Shojaeifard, A. R. Department of Mathematics - Faculty of Sciences - Imam Hossein Comprehensive University - Tehran, Iran , Nasiri, R. Department of Mathematics - Faculty of Sciences - Imam Hossein Comprehensive University - Tehran, Iran
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.
Keywords :
Nonnegative tensors , Inclusion sets , Stochastic tensors , Eigenvalue
Journal title :
International Journal of Mathematical Modelling and Computations