Ritt operators and convergence in the method of alternating projections
نویسندگان
چکیده
منابع مشابه
The Rate of Convergence in the Method of Alternating Projections
A generalization of the cosine of the Friedrichs angle between two subspaces to several closed subspaces in a Hilbert space is given. This is used to analyze the rate of convergence in the von Neumann-Halperin method of cyclic alternating projections. General dichotomy theorems are proved, in the Hilbert or Banach space situation, providing conditions under which the alternative QUC/ASC (quick ...
متن کاملCharacterizing arbitrarily slow convergence in the method of alternating projections
Bauschke, Borwein, and Lewis have stated a trichotomy theorem [4, Theorem 5.7.16] that characterizes when the convergence of the method of alternating projections can be arbitrarily slow. However, there are two errors in their proof of this theorem. In this note, we show that although one of the errors is critical, the theorem itself is correct. We give a different proof that uses the multiplic...
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چکیده ندارد.
Accelerating the Convergence of the Method of Alternating Projections
The powerful von Neumann-Halperin method of alternating projections (MAP) is an algorithm for determining the best approximation to any given point in a Hilbert space from the intersection of a finite number of subspaces. It achieves this by reducing the problem to an iterative scheme which involves only computing best approximations from the individual subspaces which make up the intersection....
متن کاملOn Local Convergence of the Method of Alternating Projections
The method of alternating projections is a classical tool to solve feasibility problems. Here we prove local convergence of alternating projections between subanalytic sets A,B under a mild regularity hypothesis on one of the sets. We show that the speed of convergence is O(k−ρ) for some ρ ∈ (0,∞).
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2016
ISSN: 0021-9045
DOI: 10.1016/j.jat.2016.02.001