会议论文详细信息
Algebra, Analysis and Quantum Probability | |
On Quadratic Stochastic Operators Having Three Fixed Points | |
Saburov, Mansoor^1 ; Yusof, Nur Atikah^1 | |
Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box, Pahang, Kuantan | |
25200, Malaysia^1 | |
关键词: Fixed points; Initial point; Positive coefficients; Stochastic matrices; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/697/1/012012/pdf DOI : 10.1088/1742-6596/697/1/012012 |
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来源: IOP | |
【 摘 要 】
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 points depending on initial points.
【 预 览 】
Files | Size | Format | View |
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On Quadratic Stochastic Operators Having Three Fixed Points | 634KB | download |