On the Convergence of Discrete-Time Linear Systems: A Linear Time-Varying Mann Iteration Converges IFF Its Operator Is Strictly Pseudocontractive
نویسندگان
چکیده
منابع مشابه
On the convergence of discrete-time linear systems: A linear time-varying Mann iteration converges iff the operator is strictly pseudocontractive
We adopt an operator-theoretic perspective to study convergence of linear fixed-point iterations and discretetime linear systems. We mainly focus on the so-called Krasnoselskij–Mann iteration x(k + 1) = (1 − αk)x(k) + αkAx(k), which is relevant for distributed computation in optimization and game theory, when A is not available in a centralized way. We show that convergence to a vector in the k...
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ژورنال
عنوان ژورنال: IEEE Control Systems Letters
سال: 2018
ISSN: 2475-1456
DOI: 10.1109/lcsys.2018.2840882