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Convex Sets and Convex Programming

  • A. V. Balakrishnan

Abstract

In this chapter we concentrate on properties of convex sets in a Hilbert space and some of the related problems of importance in application to convex programming: variational problems for convex functions over convex sets, central to which are the Kuhn-Tucker theorem and the minimax theorem of von Neumann, which in turn are based on the “separation” theorems for convex sets. A related result is the Farkas lemma in finite dimensions which finds application in network flow problems.

Keywords

Hilbert Space Boundary Point Interior Point Convex Program Positive Cone 
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 New York Inc. 1981

Authors and Affiliations

  • A. V. Balakrishnan
    • 1
  1. 1.Systems Science DepartmentUniversity of CaliforniaLos AngelesUSA

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