b— Bistochastic Quadratic Stochastic Operators and Their Properties

Algebra, Analysis and Quantum Probability

Mukhamedov, Farrukh^1 ; Embong, Ahmad Fadillah^1

Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box, Pahang, Kuantan

25200, Malaysia^1

关键词: Stochastic matrices;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/697/1/012010/pdf
DOI  :  10.1088/1742-6596/697/1/012010

来源: IOP

【 摘 要 】

In the present paper, we consider a class of quadratic stochastic operators (q.s.o.) called 6-bistochastic q.s.o. We study several descriptive properties of b- bistochastic q.s.o. It turns out that, upper triangular stochastic matrix defines a linear b-stochastic operator. This allowed us to find some sufficient conditions on cubic stochastic matrix to be a b - bistochastic q.s.o.