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The composition of projections onto closed convex sets in Hilbert space is asymptotically regular

Bauschke, Heinz H. (2001) The composition of projections onto closed convex sets in Hilbert space is asymptotically regular. [Preprint]

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      Abstract

      The composition of finitely many projections onto closed convex sets in Hilbert space arises naturally in the area of projection algorithms. We show that this composition is asymptotically regular, thus proving the so-called ``zero displacement conjecture'' from \cite{BBL}. The proof relies on a rich mix of results from monotone operator theory, fixed point theory, convex analysis, and linear algebra.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Subjects: 15-xx Linear and multilinear algebra; matrix theory
      46-xx Functional analysis > 46Cxx Inner product spaces and their generalizations, Hilbert spaces
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 24 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/139

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