Even Convexity and Optimization
Handling Strict Inequalities
Textbook © 2020
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Fajardo, M.D., Goberna, M.A., Rodríguez, M.M.L., Vicente-Pérez, J. 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. |
This tutorial is the first comprehensive introduction to (possibly infinite) linear systems containing strict inequalities and evenly convex sets.
Keywords: linear weak inequalities, convex polyhedra, convex optimization, quasiconvex functions, evenly convex functions, conjugacy duality, semi-infinite linear systems
This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 International License and the GNU Free Documentation License (unversioned, with no invariant sections, front-cover texts, or back-cover texts).
