Variational Analysis and Applications. 1st ed. 2018

種類:

電子ブック

責任表示:

by Boris S. Mordukhovich

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Mordukhovich, Boris S.
• SpringerLink (Online service)

シリーズ名:

Springer Monographs in Mathematics ;

ISBN:

9783319927756 [3319927752]    

注記:

Preface -- Part 1. Basics of First-Order Analysis.-1. First-Order Generalized Differentiation -- 2. Extremality, Well-Posedness, Calculus Rules -- 3. Optimization via Generalized Differentiation -- Part 2. Second-Order Analysis -- 4. Second-Order Subdifferentials -- 5. Second-Order Subdifferential Calculus -- 6. Full and Tilt Stability of Local Minimizers -- 7. Full Stability for Parametric Variational Systems -- Part 3. Selected Applications -- 8. Full and Tilt Stability in Constrained Optimization.-9. Higher-Order Stability and Numerical Analysis -- 10. Optimal Control of the Sweeping Process -- 11. Microeconomic Modeling -- References -- List of Statements -- Glossary of Notation -- Subject Index.
Building on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Accessible to a broad spectrum of potential readers, the main material is presented in finite-dimensional spaces. Infinite-dimensional developments are discussed at the end of each chapter with comprehensive commentaries which emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research. The first half of the book (Chapters 1–6) gives a systematic exposition of key concepts and facts, containing basic material as well as some recent and new developments. These first chapters are particularly accessible to masters/doctoral students taking courses in modern optimization, variational analysis, applied analysis, variational inequalities, and variational methods. The reader’s development of skills will be facilitated as they work through each, or a p

ローカル注記:

学内専用E-BOOKS (local access only)