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Quadratic stochastic operators having three fixed points

Saburov, Mansoor and Yusof, Nur Atikah (2015) Quadratic stochastic operators having three fixed points. In: International Conference "Algebra, Analysis and Quantum Probability", 10-12 Sep 2015, Tashkent, Uzbekistan.

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We knew that a trajectory of a linear stochastic operator associated with a positive square stochastic matrix starting from any initial point from the simplex converges to a unique fixed point. However, in general, the similar result for a quadratic stochastic operator associated with a positive cubic stochastic matrix does not hold true. In this paper, we provide an example for the quadratic stochastic operator with positive coefficients in which its trajectory may converge to different fixed point depending on an initial point.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Additional Information: 6769/46253
Uncontrolled Keywords: Quadratic stochastic operators, three fixed points
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: 22 Dec 2015 16:12
Last Modified: 21 May 2018 13:48
URI: http://irep.iium.edu.my/id/eprint/46253

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