Rescaled Pure Greedy Algorithm for Hilbert and Banach Spaces
نویسنده
چکیده
We show that a very simple modification of the Pure Greedy Algorithm for approximating functions by sparse sums from a dictionary in a Hilbert or more generally a Banach space has optimal convergence rates on the class of convex combinations of dictionary elements. AMS subject classification: 41A25, 41A46.
منابع مشابه
of Mathematics University of South Carolina 2003 : 26 Simultaneous greedy approximation in Banach spaces
We study nonlinear m-term approximation with regard to a redundant dictionary D in a Banach space. It is known that in the case of Hilbert space H the Pure Greedy Algorithm (or, more generally, the Weak Greedy Algorithm) provides for each f ∈ H and any dictionary D an expansion into a series
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تاریخ انتشار 2015