Even Convexity and Optimization

Beschreibung

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.

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..
Presents a comprehensive course on convex optimization Provides a special focus on even convexity and systems containing strict inequalities Introduces applications in and examples from economics

Autor*in

María D. Fajardo

Themen in »Even Convexity and Optimization«

linear weak inequalities convex polyhedra convex optimization quasiconvex functions evenly convex functions conjugacy duality semi-infinite linear systems

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“The new monograph is timely and needed, theoretically and methodologically rigorous, and promising for practice. … With this book’s help in upcoming times, the gifted youth of mathematics, OR and other applied disciplines can be educated, guided and trained better. … This innovative and truly unique work is offered to us together with several special and additional benefits and promises … . This excellent book is clearly and well structured, analytically deep, well exemplified, beautifully illustrated, and written with careand taste.” (Gerhard-Wilhelm Weber, zbMATH 1462.90002, 2021)

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