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Proximity Operators

  • Heinz H. Bauschke
  • Patrick L. Combettes
Chapter
Part of the CMS Books in Mathematics book series (CMSBM)

Abstract

Recall from Definition  12.23 and Proposition  12.28 that the proximity operator of \(f\in {\varGamma _0({\mathcal H})}\) is the firmly nonexpansive operator

References

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    A. S. Lewis and H. S. Sendov, Nonsmooth analysis of singular values. I. Theory, Set-Valued Anal., 13 (2005), pp. 213–241.MathSciNetCrossRefGoogle Scholar
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    C. M. Theobald, An inequality for the trace of the product of two symmetric matrices, Math. Proc. Cambridge Philos. Soc., 77 (1975), pp. 265–267.MathSciNetCrossRefGoogle Scholar

Copyright information

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Authors and Affiliations

  • Heinz H. Bauschke
    • 1
  • Patrick L. Combettes
    • 2
  1. 1.Department of MathematicsUniversity of British ColumbiaKelownaCanada
  2. 2.Department of MathematicsNorth Carolina State UniversityRaleighUSA

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