b-Bistochastic quadratic stochastic operators and their properties

In the present paper, we consider a class of quadratic stochastic operators (q.s.o.)called b-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...

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Bibliographic Details
Main Authors: Mukhamedov, Farrukh, Embong, Ahmad Fadillah
Format: Conference or Workshop Item
Language:English
English
Published: Institute of Physics Publishing 2016
Subjects:
Online Access:http://irep.iium.edu.my/50160/
http://irep.iium.edu.my/50160/
http://irep.iium.edu.my/50160/
http://irep.iium.edu.my/50160/3/50160.pdf
http://irep.iium.edu.my/50160/5/50160_%20b-Bistochastic%20quadratic%20stochastic_Scopus.pdf
Description
Summary:In the present paper, we consider a class of quadratic stochastic operators (q.s.o.)called b-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.