Beschreibung
InhaltsangabePreface - 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 Approximations Approach to Optimization Problems with Two Numerical Precision Parameters - Chapter 21. Numerical Solutions of Optimal Switching Control Problems - Chapter 22. A Solution to Hamilton-Jacobi Equation by NeuralNetworks and Optimal State Feedback Control - Chapter 23. H(infinity) Control Based on State Observer for Descriptor Systems - PART IV. VARIATIONAL INEQUALITY AND EQUILIBRIUM - Chapter 24. Decomposable Generalized Vector Variational Inequalities - Chapter 25. On a Geometric Lemma and Set-Valued Vector Equilibrium Problem - Chapter 26. Equilibrium Problems - Chapter 27. Gap Functions and Descent Methods for Minty Variational Inequality - Chapter 28. A New Class of Proximal Algorithms for the Nonlinear Complementary Problem
Autorenportrait
InhaltsangabePreface - 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 Approximations Approach to Optimization Problems with Two Numerical Precision Parameters - Chapter 21. Numerical Solutions of Optimal Switching Control Problems - Chapter 22. A Solution to Hamilton-Jacobi Equation by NeuralNetworks and Optimal State Feedback Control - Chapter 23. H(infinity) Control Based on State Observer for Descriptor Systems - PART IV. VARIATIONAL INEQUALITY AND EQUILIBRIUM - Chapter 24. Decomposable Generalized Vector Variational Inequalities - Chapter 25. On a Geometric Lemma and Set-Valued Vector Equilibrium Problem - Chapter 26. Equilibrium Problems - Chapter 27. Gap Functions and Descent Methods for Minty Variational Inequality - Chapter 28. A New Class of Proximal Algorithms for the Nonlinear Complementary Problem
