Convex Analysis

Robert J. Vanderbei
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Robert J. Vanderbei: Princeton University

Chapter Chapter 10 in Linear Programming, 2008, pp 161-171 from Springer

Abstract: 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.

Keywords: Feasible Solution; Linear Programming Problem; Convex Combination; Convex Analysis; Slack Variable (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/978-0-387-74388-2_10

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