Abstract Duality for Practitioners

  • Jean-Baptiste Hiriart-Urruty
  • Claude Lemaréchal
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 306)


Subdifferentials offinite convex functions (Chap. VI); minimality conditions and e1ementary duality theory (Chap. VII, but much less than one might think); and for the last part of the chapter, definition and elementary properties of conjugate convex functions (Chap.X).


Dual Problem Dual Function Knapsack Problem Lagrange Function Primal Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Jean-Baptiste Hiriart-Urruty
    • 1
  • Claude Lemaréchal
    • 2
  1. 1.Département de MathématiquesUniversité Paul SabatierToulouseFrance
  2. 2.INRIA, RocquencourtDomaine de VoluceauLe ChesnayFrance

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