A generalization of the Friedrichs angle and the method of alternating projections |
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Authors: | Catalin Badea Sophie Grivaux Vladimir Müller |
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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 |
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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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