Overview
- 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
Part of the book series: EURO Advanced Tutorials on Operational Research (EUROATOR)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (4 chapters)
Keywords
About this book
Reviews
“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)
Authors and Affiliations
About the authors
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).
Margarita M.L. Rodríguez is an Associate Professor in the Department of Mathematics at the University of Alicante, Spain. She earned her B.Sc. in Mathematics from the University of Santiago de Compostela and obtained her Ph.D. in Mathematics from the University of Alicante under the supervision of Miguel A. Goberna and Valentín Jornet with a thesis on linear systems and convex sets. Her research interests are focused on semi-infinite optimization, duality and even convexity, among others.
José Vicente-Pérez received both his M.Sc. and Ph.D. in Mathematics from the University of Murcia, Spain. He has held faculty positions at Public University of Navarre, University of New South Wales and Carlos III University of Madrid. After four years in the Department of Economic Analysis of the University of Alicante, he is currently Assistant Professor at the Department of Mathematics. He has published in international journals such as European Journal of Operational Research, SIAM Journal on Optimization, Journal of Optimization Theory and Applications and Journal of Public Economic Theory. His research interests include evenly convex sets and functions, polynomial optimization, decision making under uncertainty, etc.
Bibliographic Information
Book Title: Even Convexity and Optimization
Book Subtitle: Handling Strict Inequalities
Authors: María D. Fajardo, Miguel A. Goberna, Margarita M.L. Rodríguez, José Vicente-Pérez
Series Title: EURO Advanced Tutorials on Operational Research
DOI: https://doi.org/10.1007/978-3-030-53456-1
Publisher: Springer Cham
eBook Packages: Business and Management, Business and Management (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-53455-4Published: 28 October 2020
Softcover ISBN: 978-3-030-53458-5Published: 28 October 2021
eBook ISBN: 978-3-030-53456-1Published: 27 October 2020
Series ISSN: 2364-687X
Series E-ISSN: 2364-6888
Edition Number: 1
Number of Pages: XV, 181
Number of Illustrations: 22 b/w illustrations, 19 illustrations in colour
Topics: Operations Research/Decision Theory, Operations Research, Management Science, Economic Theory/Quantitative Economics/Mathematical Methods, Continuous Optimization