• Title of article

    An alternating projection that does not converge in norm Original Research Article

  • Author/Authors

    Hein S. Hundal، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    27
  • From page
    35
  • To page
    61
  • Abstract
    This paper proves that the method of alternating projections between two closed convex intersecting sets does not always converge in norm. Weak convergence was established by Bregman (Soviet Math. Dokl. 6 (1965) 688), but the status of norm convergence was undetermined. An explicit counterexample is provided.
  • Keywords
    Alternating projections , Feasible point , Convex set , Cyclic projections
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Serial Year
    2004
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Record number

    858573