The dynamics of some extreme doubly stochastic quadratic operators

Shahidi, Farruh and Ganikhodzhaev, Rasul and Abdulghafor, Rawad Abdulkhaleq Abdulmolla (2013) The dynamics of some extreme doubly stochastic quadratic operators. Middle East Journal of Scientific Research (MEJSR), 13 (Special Issue of Mathematical Applications in Engineering). pp. 59-63. ISSN 1990-9233 E-ISSN 1999-8147

	PDF - Published Version Restricted to Repository staff only Download (7MB) | Request a copy
	PDF (SCOPUS) - Supplemental Material Restricted to Registered users only Download (550kB) | Request a copy

Abstract

We provide an example of Lyapunov for doubly stochastic operators on a finite dimensional simplex. Besides we study the limit behavior of the trajectories of some extreme doubly stochastic operators on two dimensional simplex. We prove that except for certain points the trajectories of extreme doubly stochastic operators tend to the center of two dimensional simplex.

Item Type:	Article (Journal)
Additional Information:	6574/31770
Uncontrolled Keywords:	Doubly stochastic operator; Extreme point; Lyapunov function; Majorization; Periodic point
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Information and Communication Technology > Department of Computer Science Kulliyyah of Information and Communication Technology > Department of Computer Science
Depositing User:	Wan Afiqah Wan Kamarul Farid (Part Time)
Date Deposited:	24 Mar 2014 11:48
Last Modified:	03 Oct 2019 15:59
URI:	http://irep.iium.edu.my/id/eprint/31770

Actions (login required)

View Item