The rate of convergence in the method of alternating projections

Badea, Catalin; Grivaux, Sophie; Müller, Vladimir

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1090/S1061-0022-2012-01202-1

Title :

The rate of convergence in the method of alternating projections

Author(s) :

Badea, Catalin [Auteur]

Université de Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Grivaux, Sophie [Auteur]

Centre National de la Recherche Scientifique [CNRS]
Université de Lille
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 >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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