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A generalization of the Friedrichs angle and the method of alternating projections
Authors:Catalin Badea  Sophie Grivaux  Vladimir Müller
Affiliation:1. Laboratoire Paul Painlevé, Université Lille 1, CNRS UMR 8524, 59655 Villeneuve d''Ascq, France;2. Institute of Mathematics AV CR, Zitna 25, 115 67 Prague 1, Czech Republic
Abstract:We present a generalization to an arbitrary number of subspaces of the cosine of the Friedrichs angle between two subspaces of a Hilbert space. This parameter is used to analyze the rate of convergence in the von Neumann–Halperin method of alternating projections.
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