A generalization of the Friedrichs angle and the method of alternating projections

DOI10.1016/j.crma.2009.11.018zbMath1191.46021OpenAlexW2037072100MaRDI QIDQ847099

Catalin Badea, Sophie Grivaux, Vladimír Müller

Publication date: 12 February 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.11.018

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05)

Related Items

Arbitrarily Slow Convergence of Sequences of Linear Operators: A Survey ⋮ Alternating projections on nontangential manifolds ⋮ Weak limits of consecutive projections and of greedy steps ⋮ Alternating projections, remotest projections, and greedy approximation ⋮ When products of projections diverge ⋮ Topological isomorphisms for some universal operator algebras ⋮ Convergence of non-cyclic infinite products of operators ⋮ The numerical range and the spectrum of a product of two orthogonal projections ⋮ Sequences of \(m\)-term deviations in Hilbert space ⋮ Ritt operators and convergence in the method of alternating projections

Cites Work

• Error bounds for the method of alternating projections
• The rate of convergence for the method of alternating projections. II
• The rate of convergence in the method of alternating projections
• Characterizing arbitrarily slow convergence in the method of alternating projections
• The method of alternating projections and the method of subspace corrections in Hilbert space
• Theory of Reproducing Kernels
• Best approximation in inner product spaces
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