The rate of convergence in the method of ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
The rate of convergence in the method of alternating projections
Author(s) :
Badea, Catalin [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Grivaux, Sophie [Auteur]
Université de Lille
Centre National de la Recherche Scientifique [CNRS]
Müller, Vladimir [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Grivaux, Sophie [Auteur]
Université de Lille
Centre National de la Recherche Scientifique [CNRS]
Müller, Vladimir [Auteur]
Journal title :
St. Petersburg Mathematical Journal
Pages :
413-434
Publisher :
American Mathematical Society
Publication date :
2012-06-01
ISSN :
1061-0022
HAL domain(s) :
Mathématiques [math]/Analyse fonctionnelle [math.FA]
English abstract : [en]
A generalization of the cosine of the Friedrichs angle between two subspaces to a parameter associated to several closed subspaces of a Hilbert space is given. This parameter is used to analyze the rate of convergence in ...
Show more >A generalization of the cosine of the Friedrichs angle between two subspaces to a parameter associated to several closed subspaces of a Hilbert space is given. This parameter 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 uniform convergence versus arbitrarily slow convergence) holds. Several meanings for ASC are proposed.Show less >
Show more >A generalization of the cosine of the Friedrichs angle between two subspaces to a parameter associated to several closed subspaces of a Hilbert space is given. This parameter 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 uniform convergence versus arbitrarily slow convergence) holds. Several meanings for ASC are proposed.Show less >
Language :
Anglais
Popular science :
Non
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