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  • The cosine of the Friedrichs angle between two subspaces is generalized to a parameter associated with several closed subspaces of a Hilbert space. This parameter is employed 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.
  • The cosine of the Friedrichs angle between two subspaces is generalized to a parameter associated with several closed subspaces of a Hilbert space. This parameter is employed 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. (en)
Title
  • The rate of convergence in the method of alternating projections
  • The rate of convergence in the method of alternating projections (en)
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  • The rate of convergence in the method of alternating projections
  • The rate of convergence in the method of alternating projections (en)
skos:notation
  • RIV/67985840:_____/12:00380719!RIV13-AV0-67985840
http://linked.open...avai/predkladatel
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  • I, P(GA201/09/0473), P(IAA100190903)
http://linked.open...iv/cisloPeriodika
  • 3
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  • 164134
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  • RIV/67985840:_____/12:00380719
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  • Friedrichs angle; method of alternating projections; arbitrarily slow convergence (en)
http://linked.open.../riv/klicoveSlovo
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  • US - Spojené státy americké
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  • [5BE2A17638DC]
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  • ST PETERSBURG MATHEMATICAL JOURNAL
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  • 23
http://linked.open...iv/tvurceVysledku
  • Müller, Vladimír
  • Badea, C.
  • Grivaux, S.
http://linked.open...ain/vavai/riv/wos
  • 000304073500001
issn
  • 1061-0022
number of pages
http://bibframe.org/vocab/doi
  • 10.1090/S1061-0022-2012-01202-1
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