Second-Order Variational Analysis in Optimization, Variational Stability, and Control Theory, Algorithms, Applications
This fundamental work is a sequel to monographs by the same author: Variational Analysis and Applications (2018) and the two Grundlehren volumes Variational Analysis and Generalized Differentiation: I Basic Theory, II Applications (2006). This present book is the first entirely devoted to second-ord...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2024, 2024
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| Edition: | 1st ed. 2024 |
| Series: | Springer Series in Operations Research and Financial Engineering
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- 1. Basic Concepts of Second-Order Analysis
- 2. Second-Order Subdifferential Calculus
- 3. Computing Second-Order Subdifferentials
- 4. Computing Primal-Dual Second-Order Objects
- 5. Tilt Stability in Optimization
- 6. Full Stability in Optimization
- 7. Full Stability for Parametric Variational Systems
- 8. Critical Multipliers in Variational Systems
- 9. Newton-Type Methods for Tilt-Stable Minimizers
- 10. Sweeping Process Over Controlled Polyhedra
- 11. Sweeping Process with Controlled Perturbations
- 12. Sweeping Process Under Prox-Regularity
- 13. Applications to Controlled Crowd Motion Models
- References
- List of Statements
- List of Figures
- Glossary of Notation
- Subject Index