Even Convexity and Optimization : Handling Strict Inequalities

2020 ed.

by Jose Vicente-Perez , Margarita M.L. Rodriguez , Maria D. Fajardo , Miguel A. Goberna

Book Details

Format Paperback / Softback

Book Series EURO Advanced Tutorials on Operational Research

ISBN-10 3030534588

ISBN-13 9783030534585

Edition 2020 ed.

Publisher Springer Nature Switzerland AG

Imprint Springer Nature Switzerland AG

Country of Manufacture GB

Country of Publication GB

Publication Date Oct 28th, 2021

Print length 181 Pages

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This tutorial is the first comprehensive introduction to (possibly infinite) linear systems containing strict inequalities and evenly convex sets. Particular attention is paid to evenly convex polyhedra and finite linear systems containing strict inequalities.

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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