Properties of stochastic operators of order v on a finite-dimensional simplex

The necessary and sufficient conditions for stochasticity and bistochasticity of positive operators were analyzed. Key criteria for stochasticity of continuous positive operators in Rm were proved. The necessary and sufficient condition for these operators to be referred to as bistochastic was established.

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Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
Published
2024-12-22
DOI
https://doi.org/10.26907/2541-7746.2024.4.651-659
Primary Topic
Matrix Theory and Algorithms
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article
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article

Properties of stochastic operators of order v on a finite-dimensional simplex

Yu. Kh. Èshkabilov, J. Z. Istamov
Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
Matrix Theory and Algorithms
article

Properties of stochastic operators of order v on a finite-dimensional simplex

Yu. Kh. Èshkabilov, J. Z. Istamov
article en

Abstract

The necessary and sufficient conditions for stochasticity and bistochasticity of positive operators were analyzed. Key criteria for stochasticity of continuous positive operators in Rm were proved. The necessary and sufficient condition for these operators to be referred to as bistochastic was established.

Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie naukiVol. 166(4)
Karshi State University (UZ)
Openalex Percentile: Top 72%
Matrix Theory and Algorithms
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