Constructive Nonsmooth Analysis and Related Topics - Demyanov, Vladimir F.; Pardalos, Panos M.; Batsyn, Mikhail; (ed.) - Prospero Internet Bookshop

Constructive Nonsmooth Analysis and Related Topics
 
Product details:

ISBN13:9781493946310
ISBN10:1493946315
Binding:Paperback
No. of pages:253 pages
Size:235x155 mm
Weight:4102 g
Language:English
Illustrations: 24 Illustrations, black & white; 11 Illustrations, color
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Constructive Nonsmooth Analysis and Related Topics

 
Edition number: Softcover reprint of the original 1st ed. 2014
Publisher: Springer
Date of Publication:
Number of Volumes: 1 pieces, Previously published in hardcover
 
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Short description:

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.

Long description:

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.

Table of Contents:
?Constructive Noonsmooth Analysis and Related Topics (V. Demyanov, P.M. Pardalos, M. Batsyn).- Use Model Theory in Nonsmooth Analysis (S.S. Kutateladze).- Demyanov Difference in Infinite Dimensional Spaces (J. Grzybowski, D. Pallaschke, R. Urbanski).- Separable Reduction of Metric Regularity Properties (A.D. Ioffe).- Construction of Pairs of Reproducing Kernel Banach Spaces (P.G. Georgiev, L. Sanchez-Gonzalez, P.M. Pardalos).- On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities (N. Ovcharova, J. Gwinner).- Dynamics and Optimization of Multibody Systems in the Presence of Dry Friction (F.L. Chemousko).- Method of Steepest Descent for Two-Dimensional Problems of Calculus in Variations (M.V. Dolgopolik, G.Sh.Tamasyan).- On a Quantitative Semicontinuity Property of Variational Systems with Applications to Perturbed Quasidifferentiable Optimization (A. Uderzo).- Some Remarks on Bi-Level Vector Extremum Problems (C. Antoni, F. Giannessi).- Well-Posedness for Lexicographic Vector Equilibrium Problems (L.Q. Anh, T.Q. Duy, A.Y. Kruger, N.H. Thao).- The Best Linear Separation of Two Sets (V.N. Malozemov, E.K. Cherneutsanu).- Alternance Form of Optimality Conditions in the Finite-Dimensional Space (V.F. Demyanov, V.N. Malozemov).- Optimal Multiple Decision Statistical Procedure for Inverse Covariance Matrix (A.P. Koldanov, P.A. Koldanov).- Conciliating Generalized Derivatives (J.-P. Penot).- The Nonsmooth Path of Alex M. Rubinov (S.S. Kutateladze).- Two Giants From St. Petersburg (S.S. Kututeladze).- Convex Analysis and Optimization in the Past 50 Years: Some Snapshots (J.-B. Hiriart-Urruty).