Buch, Englisch, 257 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 441 g
A Unified Approach
Buch, Englisch, 257 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 441 g
Reihe: Graduate Texts in Operations Research
ISBN: 978-3-030-41806-9
Verlag: Springer International Publishing
The book introduces a systematic three-step method for doing everything, which can be summarized as "conify, work, deconify". It starts with the concept of convex sets, their primal description, constructions, topological properties and dual description, and then moves on to convex functions and the fundamental principles of convex optimization and their use in the complete analysis of convex optimization problems by means of a systematic four-step method. Lastly, it includes chapters on alternative formulations of optimality conditions and on illustrations of their use.
"The author deals with the delicate subjects in a precise yet light-minded spirit. For experts in the field, this book not only offers a unifying view, but also opens a door to new discoveries in convexity and optimization.perfectly suited for classroom teaching." Shuzhong Zhang, Professor of Industrial and Systems Engineering, University of Minnesota
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
- Wirtschaftswissenschaften Betriebswirtschaft Unternehmensforschung
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Operations Research
Weitere Infos & Material
Convex Sets: Basic properties.- Convex Sets: Binary Operations.- Convex Sets: Topological Properties.- Convex Sets: Dual Description.- Convex Functions: Basic Properties.- Convex Functions: Dual Description.- Convex Problems: The Main Questions.- Optimality Conditions: Reformulations.- Application to Convex Problems.