Second-Order Variational Analysis in Optimization, Variational Stability, and Control
Theory, Algorithms, Applications
Series: Springer Series in Operations Research and Financial Engineering;
- Publisher's listprice EUR 171.19
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72 618 Ft
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Edition number 2024
- Publisher Springer
- Date of Publication 22 May 2024
- Number of Volumes 1 pieces, Book
- ISBN 9783031534751
- Binding Hardback
- No. of pages789 pages
- Size 235x155 mm
- Language English
- Illustrations 3 Illustrations, black & white; 21 Illustrations, color 614
Categories
Short description:
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-order variational analysis with numerical algorithms and applications to practical models. It covers a wide range of topics including theoretical, numerical, and implementations that will interest researchers in analysis, applied mathematics, mathematical economics, engineering, and optimization. Inclusion of a variety of exercises and commentaries in each chapter allows the book to be used effectively in a course on this subject. This area has been well recognized as an important and rapidly developing area of nonlinear analysis and optimization with numerous applications. Consisting of 9 interrelated chapters, the book is self-contained with the inclusion of some preliminaries in Chapter 1.
Long description:
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.
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