Even Convexity and Optimization
Handling Strict Inequalities
(Sprache: Englisch)
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...
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Klappentext zu „Even Convexity and Optimization “
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..
Inhaltsverzeichnis zu „Even Convexity and Optimization “
Evenly convex sets - Linear systems containing strict inequalities.- Evenly convex polyhedra - Finite linear systems containing strict inequalities.- Evenly quasiconvex functions.- Evenly convex functions.- Extensions to infinite-dimensional spaces.
Autoren-Porträt von María D. Fajardo, Miguel A. Goberna, Margarita M.L. Rodríguez, José Vicente-Pérez
María D. Fajardo studied Mathematics at the University of Murcia, Spain and received her Ph.D. in Mathematics from the University of Alicante under the supervision of Marco A. López, with a thesis on convex semi-infinite programming. She is an Associate Professor in the Department of Mathematics at the University of Alicante. Her main research fields are duality theory and evenly convex optimization, currently working on saddle point theory, Lagrangian duality and DC problems under even convexity assumptions. Miguel A. Goberna is B.Sc and Ph.D. in Mathematics from the University of Valencia, Spain. He has held faculty positions at the Universities of Valencia and Alicante, where he is currently full Professor. He has been Head of several Departments at the University of Alicante and has served as Editor-in-Chief of the Springer journal Top. Miguel A. Goberna is author of more than 100 papers on semi-infinite and infinite optimization, robust optimization, duality, stability, even convexity, etc. He is best known for his books on linear semi-infinite optimization with Marco A. López (Wiley 1998 and Springer 2014).
Bibliographische Angaben
- Autoren: María D. Fajardo , Miguel A. Goberna , Margarita M.L. Rodríguez , José Vicente-Pérez
- 2021, 1st ed. 2020, XV, 181 Seiten, 19 farbige Abbildungen, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3030534588
- ISBN-13: 9783030534585
Sprache:
Englisch
Pressezitat
"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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