Optimization and Control with Applications [Paperback]

A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads.

Preface  Biographical Sketch of Elijah Polak  Publications of Elijah Polak  PART I. DUALITY AND OPTIMALITY CONDITIONS  Chapter 1. On Minimization of Max-Min Functions  Chapter 2. A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions  Chapter 3. Duality and Exact Penalization via a Generalized Augmented Lagrangian Function  Chapter 4. Duality for Semi-Definite and Semi-Infinite Programming with Equality Constraints  Chapter 5. The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations  Chapter 6. Some Classes of Abstract Convex Functions  PART II. OPTIMIZATION ALGORITHMS  Chapter 7. An Implementation of Training Dual-nu Support Vector Machines  Chapter 8. An Analysis of the Barzilai and Borwein Gradient Method for Unsymmetric Linear Equations  Chapter 9. An Exchange Algorithm for Minimizing Sum-Min Functions  Chapter 10. On the Barzlai-Borwein Method  Chapter 11. The Modified Subgradient Method for Equality Constrained Nonconvex Optimization Problems  Chapter 12. Inexact Restoration Methods for Nonlinear Programming: Advances and Perspectives  Chapter 13. Quantum Algorithm for Continuous Global Optimization  Chapter 14. SQP Versus SCP Methods for Nonlinear Programming  Chapter 15. An Approximation Approach for Linear Programming in Measure Space  PART III. OPTIMAL CONTROL  Chapter 16. Optimal Control of Nonlinear Systems  Chapter 17. Proximal-Like Methods for Convex Minimization Problems  Chapter 18. Analysis of Two Dimensional Nonconvex Variational Problems  Chapter 19. Stability of Equilibrium Points of Projected Dynamical Systems  Chapter 20. On a Quasi-Consistent Aplc<