Advertisement

Sublinearity and Support Functions

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

Abstract

In classical real analysis, the simplest functions are linear. In convex analysis, the next simplest convex functions (apart from the affine functions, widely used in §B.1.2), are so-called sublinear. We give three motivations for their study.

Keywords

Convex Cone Support Function Affine Function Closed Convex Cone Closed Convex Hull 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations