New Inclusion Sets for the Eigenvalues of Stochastic Tensors

الموضوعات : فصلنامه ریاضی

Ali Reza Shojaeifard ¹ (Department of Mathematics, Faculty of Sciences, Imam Hossein Comprehensive University, Tehran, Iran.)
Ramin Nasiri ² (Department of Mathematics, Faculty of Sciences, Imam Hossein Comprehensive University, Tehran, Iran.)

تاريخ الإرسال : 18 الإثنين , ذو القعدة, 1442 تاريخ التأكيد : 17 الخميس , جمادى الثانية, 1443 تاريخ الإصدار : 16 الأربعاء , ذو القعدة, 1443

الکلمات المفتاحية: eigenvalue, Nonnegative tensors, Inclusion sets, Stochastic tensors,

ملخص المقالة :

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.