Comptes Rendus
no. 1-2
Functional Analysis
A generalization of the Friedrichs angle and the method of alternating projections
[Une généralisation de l'angle de Friedrichs et la méthode des projections alternées]

Présenté par : Jean-Pierre Kahane

Catalin Badea1 ; Sophie Grivaux1 ; Vladimir Müller2
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
Comptes Rendus. Mathématique, Volume 348 (2010) no. 1-2, pp. 53-56.

On considère une généralisation à plusieurs espaces du cosinus de l'angle de Friedrichs entre deux sous-espaces d'un espace de Hilbert. On utilise ce paramètre pour analyser la vitesse de convergence dans la méthode des projections alternées de von Neumann–Halperin.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.11.018

Catalin Badea 1 ; Sophie Grivaux 1 ; Vladimir Müller 2

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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Catalin Badea; Sophie Grivaux; Vladimir Müller. A generalization of the Friedrichs angle and the method of alternating projections. Comptes Rendus. Mathématique, Volume 348 (2010) no. 1-2, pp. 53-56. doi : 10.1016/j.crma.2009.11.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.11.018/

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