Constructive Nonsmooth Analysis and Related Topics
Springer-Verlag New York Inc.
978-1-4939-4631-0 (ISBN)
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.
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).
Erscheinungsdatum | 22.10.2016 |
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Reihe/Serie | Springer Optimization and Its Applications ; 87 |
Zusatzinfo | 11 Illustrations, color; 24 Illustrations, black and white; XII, 253 p. 35 illus., 11 illus. in color. |
Verlagsort | New York |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Informatik ► Theorie / Studium ► Algorithmen |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
Schlagworte | Global Optimization • Minimax theory • nonsmooth analysis • nonsmooth optimal control |
ISBN-10 | 1-4939-4631-5 / 1493946315 |
ISBN-13 | 978-1-4939-4631-0 / 9781493946310 |
Zustand | Neuware |
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