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Convex Sets

  • Jean-Baptiste Hiriart-Urruty
  • Claude Lemaréchal
Part of the Grundlehren Text Editions book series (TEXTEDITIONS)

Abstract

Our working space is ℝ n . We recall that this space has the structure of a real vector space (its elements being called vectors), and also of an affine space (a set of points); the latter can be identified with the vector-space ℝ n whenever an origin is specified. It is not always possible, nor even desirable, to distinguish vectors and points.

Keywords

Extreme Point Convex Cone Convex Combination Tangent Cone Relative Interior 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jean-Baptiste Hiriart-Urruty
    • 1
  • Claude Lemaréchal
    • 2
  1. 1.Département de MathématiquesUniversité Paul SabatierToulouseFrance
  2. 2.INRIA, Rhône AlpesZIRSTMontbonnotFrance

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