R-majorizing operators: 2D simplex

Saburov, Mansoor and Yusof, Nur Atikah (2014) R-majorizing operators: 2D simplex. In: 3rd International Conference on Mathematical Applications in Engineering (ICMAE'14), 23-25 Sep 2014, Kuala Lumpur. (Unpublished)

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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 pre-order of distance from a uniform vector. A pre-order of distance from any fixed vector of positive components, so-called r-majorization, is a generalization of usual vector majorization. In this paper, we introduce a new class of quadratic stochastic operators. These are called quadratic stochastic r-majorizing operators. The r-majorizing quadratic stochastic operator is a generalization of a quadratic doubly stochastic operator. We study ergodicity and regularity of quadratic stochastic r-majorizing operators.

Item Type:	Conference or Workshop Item (UNSPECIFIED)
Additional Information:	6769/39874
Uncontrolled Keywords:	R-majorizing operator, 2D simplex
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:	16 Dec 2014 12:19
Last Modified:	18 Jun 2018 23:22
URI:	http://irep.iium.edu.my/id/eprint/39874

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