Constructive Nonsmooth Analysis and Related Topics

✍ Scribed by S. S. Kutateladze (auth.), Vladimir F. Demyanov, Panos M. Pardalos, Mikhail Batsyn (eds.)

• Publisher: Springer-Verlag New York
• Year: 2014
• Tongue: English
• Leaves: 258
• Series: Springer Optimization and Its Applications 87
• Edition: 1
• Category: Library

✦ Synopsis

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

Front Matter....Pages i-xii
Use Model Theory in Nonsmooth Analysis....Pages 1-11
Demyanov Difference in Infinite-Dimensional Spaces....Pages 13-24
Separable Reduction of Metric Regularity Properties....Pages 25-37
Construction of Pairs of Reproducing Kernel Banach Spaces....Pages 39-57
On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities....Pages 59-70
Dynamics and Optimization of Multibody Systems in the Presence of Dry Friction....Pages 71-100
Method of Steepest Descent for Two-Dimensional Problems of Calculus of Variations....Pages 101-113
On a Quantitative Semicontinuity Property of Variational Systems with Applications to Perturbed Quasidifferentiable Optimization....Pages 115-136
Some Remarks on Bi-level Vector Extremum Problems....Pages 137-157
Well-Posedness for Lexicographic Vector Equilibrium Problems....Pages 159-174
The Best Linear Separation of Two Sets....Pages 175-183
Alternance Form of Optimality Conditions in the Finite-Dimensional Space....Pages 185-203
Optimal Multiple Decision Statistical Procedure for Inverse Covariance Matrix....Pages 205-216
Conciliating Generalized Derivatives....Pages 217-230
The Nonsmooth Path of Alex M. Rubinov....Pages 231-233
Two Giants from St. Petersburg....Pages 235-244
Convex Analysis and Optimization in the Past 50 Years: Some Snapshots....Pages 245-253

✦ Subjects

Optimization; Algorithms; Dynamical Systems and Ergodic Theory; Computational Science and Engineering