Convex analysis

Robert J. Vanderbei

Research output: Chapter in Book/Report/Conference proceedingChapter


This book is mostly about linear programming. However, this subject, important as it is, is just a subset of a larger subject called convex analysis. In this chapter, we shall give a brief introduction to this broader subject. In particular, we shall prove a few of the fundamental results of convex analysis and see that their proofs depend on some of the theory of linear programming that we have already developed.

Original languageEnglish (US)
Title of host publicationInternational Series in Operations Research and Management Science
Number of pages11
StatePublished - 2020
Externally publishedYes

Publication series

NameInternational Series in Operations Research and Management Science
ISSN (Print)0884-8289
ISSN (Electronic)2214-7934

All Science Journal Classification (ASJC) codes

  • Software
  • Computer Science Applications
  • Strategy and Management
  • Management Science and Operations Research
  • Applied Mathematics


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