Abstract

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
PublisherSpringer
Pages159-169
Number of pages11
DOIs
StatePublished - 2020

Publication series

NameInternational Series in Operations Research and Management Science
Volume285
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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  • Cite this

    Vanderbei, R. J. (2020). Convex analysis. In International Series in Operations Research and Management Science (pp. 159-169). (International Series in Operations Research and Management Science; Vol. 285). Springer. https://doi.org/10.1007/978-3-030-39415-8_10