2 00 6 on F - Quadratic Stochastic Operators
نویسندگان
چکیده
In this paper we introduce a notion of F − quadratic stochastic operator. For a wide class of such operators we show that each operator of the class has unique fixed point. Also we prove that any trajectory of the F-quadratic stochastic operator converges to the fixed point exponentially fast.
منابع مشابه
m at h . FA ] 8 F eb 2 00 8 DOUBLY STOCHASTIC QUADRATIC OPERATORS AND BIRKHOFF ’ S PROBLEM
In the present we introduce a concept of doubly stochastic quadratic operator. We prove necessary and sufficient conditions for doubly stochasticity of operator. Besides, we prove that the set of all doubly stochastic operators forms convex polytope. Finally, we study analogue of Birkhoff’s theorem for the class of doubly stochastic operators. Mathematics Subject Classification: 15A51, 15A63, 4...
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تاریخ انتشار 2006