Even Convexity and Optimization : handling strict inequalities
著者
書誌事項
Even Convexity and Optimization : handling strict inequalities
（Euro advanced tutorials on operational research / series editors, M. Grazia Speranza, José Fernando Oliveira）
Springer Nature, 2020
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注記
Includes bibliographical references (p171-178) and index
内容説明・目次
内容説明
This tutorial is the first comprehensive introduction to (possibly infinite) linear systems containing strict inequalities and evenly convex sets. The book introduces their application to convex optimization. Particular attention is paid to evenly convex polyhedra and finite linear systems containing strict inequalities. The book also analyzes evenly convex and quasiconvex functions from a conjugacy and duality perspective. It discusses the applications of these functions in economics. Written in an expository style the main concepts and basic results are illustrated with suitable examples and figures..
目次
Evenly convex sets - Linear systems containing strict inequalities.- Evenly convex polyhedra - Finite linear systems containing strict inequalities.- Evenly quasiconvex functions.- Evenly convex functions.- Extensions to infinite-dimensional spaces.
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