Duality and Convex Programming

Reference work entry


This chapter surveys key concepts in convex duality theory and their application to the analysis and numerical solution of problem archetypes in imaging. Convex analysis, Variational analysis, Duality


Convex Analysis Approach Fenchel Conjugate Fenchel Duality Linear Inverse Problems Sandwich Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



D. Russell Luke’s work was supported in part by NSF grants DMS-0712796 and DMS-0852454. Work on the second edition was supported by DFG grant SFB755TPC2. The authors wish to thank Matthew Tam for his assistance in preparing a revision for the second edition of the handbook.


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© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.School of Mathematical and Physical SciencesUniversity of NewcastleNewcastleAustralia
  2. 2.Institute of Numerical and Applied MathematicsGeorg-August-Universität GöttingenGöttingenGermany

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