TY - CHAP
T1 - Convex analysis
AU - Vanderbei, Robert J.
N1 - Publisher Copyright:
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85090002665&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85090002665&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-39415-8_10
DO - 10.1007/978-3-030-39415-8_10
M3 - Chapter
AN - SCOPUS:85090002665
T3 - International Series in Operations Research and Management Science
SP - 159
EP - 169
BT - International Series in Operations Research and Management Science
PB - Springer
ER -