Ebook: Even Convexity and Optimization: Handling Strict Inequalities
- Tags: Business and Management, Operations Research/Decision Theory, Operations Research Management Science, Economic Theory/Quantitative Economics/Mathematical Methods, Continuous Optimization
- Series: EURO Advanced Tutorials on Operational Research
- Year: 2020
- Publisher: Springer International Publishing
- Edition: 1st ed.
- Language: English
- pdf
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..
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