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R-Majorizing Quadratic Stochastic Operators: Examples on 2d Simplex
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نویسنده
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Saburov M. ,Yusof N.A.
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منبع
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Malaysian Journal Of Mathematical Sciences - 2016 - دوره : 10 - شماره : S - صفحه:37 -47
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چکیده
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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 preorder of distance from a uniform vector. a preorder of distance from any fixed non-uniform vector of positive components,so-called r-majorization,is a generalization of usual vector majorization. in this paper,a new class of mappings so-called r-majorizing quadratic stochastic operators was introduced. the r-majorizing quadratic stochastic operator is a generalization of a quadratic doubly stochastic operator. some relevant examples are provided. moreover,the dynamics of some non-scrambling r-majorizing quadratic stochastic operators are studied.
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کلیدواژه
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Quadratic Stochastic Operators; R-Majorization; Scrambling Matrix
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آدرس
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Department Of Computational And Theoretical Sciences,Kulliyyah Of Science,International Islamic University Malaysia, Malaysia, Department Of Computational And Theoretical Sciences,Kulliyyah Of Science,International Islamic University Malaysia, Malaysia
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Authors
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