An easy path to convex analysis and applications:

This book examines the most fundamental parts of convex analysis and its applications to optimization and location problems. Accessible techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and to build a theory of generalized differentiation fo...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Morduchovič, Boris S. (VerfasserIn), Nguyen, Mau Nam (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Cham Springer [2023]
Ausgabe:Second edition
Schriftenreihe:Synthesis lectures on mathematics & statistics
Schlagworte:
Zusammenfassung:This book examines the most fundamental parts of convex analysis and its applications to optimization and location problems. Accessible techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and to build a theory of generalized differentiation for convex functions and sets in finite dimensions. The book serves as a bridge for the readers who have just started using convex analysis to reach deeper topics in the field. Detailed proofs are presented for most of the results in the book and also included are many figures and exercises for better understanding the material. Applications provided include both the classical topics of convex optimization and important problems of modern convex optimization, convex geometry, and facility location.
Beschreibung:Includes bibliographical references and index
Beschreibung:xx, 300 Seiten Illustrationen, Diagramme 25 cm
ISBN:9783031264573
3031264576