Overview
- Focuses on Nonsmooth Analysis, a modern and powerful instrument in applied mathematics
- Presents minimax theory an important area in optimization theory covering a number of nonsmooth problems, is presented
- Includes applications in engineering and solutions to nonsmooth real-world problems, optimization problems for dynamical systems
- Presents methods for dealing with difficult optimization problems in global optimization
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 87)
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About this book
This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. This conference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whose contributions to NSA and NDO remain invaluable.
The first four chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 are related to nondifferentiable optimization, and the volume concludes with four chapters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization: Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and important snapshots of the 50-year history of convex analysis and optimization.
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Table of contents (17 chapters)
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Front Matter
Editors and Affiliations
Bibliographic Information
Book Title: Constructive Nonsmooth Analysis and Related Topics
Editors: Vladimir F. Demyanov, Panos M. Pardalos, Mikhail Batsyn
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-1-4614-8615-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4614-8614-5Published: 12 November 2013
Softcover ISBN: 978-1-4939-4631-0Published: 23 August 2016
eBook ISBN: 978-1-4614-8615-2Published: 12 November 2013
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: XII, 253
Number of Illustrations: 24 b/w illustrations, 11 illustrations in colour
Topics: Optimization, Algorithms, Dynamical Systems and Ergodic Theory, Computational Science and Engineering