R−Majorizing quadratic stochastic operators: Examples on 2D simplex

Saburov, Mansoor and Yusof, Nur Atikah (2016) R−Majorizing quadratic stochastic operators: Examples on 2D simplex. Malaysian Journal of Mathematical Sciences, 10(S). pp. 37-47. ISSN 1823-8343 E-ISSN 2289-750X

	PDF (Article) - Published Version Restricted to Repository staff only Download (671kB) | Request a copy
	PDF (SCOPUS) - Supplemental Material Restricted to Repository staff only Download (130kB) | Request a copy

Abstract

A vector majorization is a preorder of dispersion for vectors with the same length and same sum of components. The vector majorization can be viewed as a preorder of distance from a uniform vector. A preorder of distance from any fixed non-uniform vector of positive components, so-called r−majorization, is a generalization of usual vector majorization. In this paper, a new class of mappings so-called r−majorizing quadratic stochastic operators was introduced. The r−majorizing quadratic stochastic operator is a generalization of a quadratic doubly stochastic operator. Some relevant examples are provided. Moreover, the dynamics of some non-scrambling r−majorizing quadratic stochastic operators are studied.

Item Type:	Article (Journal)
Additional Information:	6769/51133
Uncontrolled Keywords:	R−majorization, quadratic stochastic operators, scrambling matrix.
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	24 Jun 2016 13:16
Last Modified:	17 Apr 2017 14:23
URI:	http://irep.iium.edu.my/id/eprint/51133

Actions (login required)

View Item