Cover of Maria D. Fajardo, Miguel A. Goberna, Margarita M.L. Rodriguez, Jose Vicente-Perez: Even Convexity and Optimization

Maria D. Fajardo, Miguel A. Goberna, Margarita M.L. Rodriguez, Jose Vicente-Perez Even Convexity and Optimization

Handling Strict Inequalities

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Springer International Publishing

2020

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978-3-030-53456-1

3-030-53456-1

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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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