[Une généralisation de l'angle de Friedrichs et la méthode des projections alternées]
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.
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@article{CRMATH_2010__348_1-2_53_0,
author = {Badea, Catalin and Grivaux, Sophie and M\"uller, Vladimir},
title = {A generalization of the {Friedrichs} angle and the method of alternating projections},
journal = {Comptes Rendus. Math\'ematique},
pages = {53--56},
publisher = {Elsevier},
volume = {348},
number = {1-2},
year = {2010},
doi = {10.1016/j.crma.2009.11.018},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2009.11.018/}
}
TY - JOUR AU - Badea, Catalin AU - Grivaux, Sophie AU - Müller, Vladimir TI - A generalization of the Friedrichs angle and the method of alternating projections JO - Comptes Rendus. Mathématique PY - 2010 SP - 53 EP - 56 VL - 348 IS - 1-2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.11.018/ DO - 10.1016/j.crma.2009.11.018 LA - en ID - CRMATH_2010__348_1-2_53_0 ER -
%0 Journal Article %A Badea, Catalin %A Grivaux, Sophie %A Müller, Vladimir %T A generalization of the Friedrichs angle and the method of alternating projections %J Comptes Rendus. Mathématique %D 2010 %P 53-56 %V 348 %N 1-2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.11.018/ %R 10.1016/j.crma.2009.11.018 %G en %F CRMATH_2010__348_1-2_53_0
Badea, Catalin; Grivaux, Sophie; Müller, Vladimir. A generalization of the Friedrichs angle and the method of alternating projections. Comptes Rendus. Mathématique, Tome 348 (2010) no. 1-2, pp. 53-56. doi : 10.1016/j.crma.2009.11.018. http://www.numdam.org/articles/10.1016/j.crma.2009.11.018/
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