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The rate of convergence of b-bistochastic quadratic stochastic operator on 1-dimensional simplex

Azman, Abdurrahman and Wan Rozali, Wan Nur Fairuz Alwani (2025) The rate of convergence of b-bistochastic quadratic stochastic operator on 1-dimensional simplex. In: International Undergraduate Research, Innovation, Invention and Design (IURIID2025), 10th October 2025, Online.

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Abstract

This research studies the dynamics of a quadratic stochastic operator (QSO) called the b-bistochastic QSO defined on a 1-dimensional simplex. The QSO was first constructed on a 1-dimensional simplex before fixed-point analysis was conducted on the QSO. Under some conditions, the QSO is defined to be the b bistochastic QSO. It is found that such b-bistochastic QSO converges to a unique fixed point at a constant rate.

Item Type: Proceeding Paper (Other)
Additional Information: 8818/124081
Uncontrolled Keywords: Quadratic Stochastic Operator, b-order Majorization, Hyperbolicity, Rate of Convergence
Subjects: Q Science > QA Mathematics > QA276 Mathematical Statistics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science
Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Dr Wan Nur Fairuz Alwani Binti Wan Rozali
Date Deposited: 10 Nov 2025 09:39
Last Modified: 11 Nov 2025 10:37
URI: http://irep.iium.edu.my/id/eprint/124081

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