برنامه ریزی ریاضی با اغتشاشات داده ها ۲۰۲۰
Mathematical Programming with Data Perturbations 2020

1. Cover

2. Half Title

3. Title Page

4. Copyright Page

5. Preface

6. Table of Contents

7. Contributors

8. Discretization and Mesh-Independence of Newton’s Method for Generalized Equations

9. Extended Quadratic Tangent Optimization Problems

10. On Generalized Differentiability of Optimal Solutions in Nonlinear Parametric Optimization

11. Characterizations of Lipschitzian Stability in Nonlinear Programming

12. On Second Order Sufficient Conditions for Structured Nonlinear Programs in Infinite-Dimensional Function Spaces

13. Algorithmic Stability Analysis for Certain Trust Region Methods

14. A Note on Using Linear Knowledge to Solve Efficiently Linear Programs Specified with Approximate Data

15. On the Role of the Mangasarian–Fromovitz Constraint Qualification for Penalty-, Exact Penalty-, and Lagrange Multiplier Methods

16. Hoffman’s Error Bound for Systems of Convex Inequalities

17. Lipschitzian and Pseudo-Lipschitzian Inverse Functions and Applications to Nonlinear Optimization

18. On Well-Posedness and Stability Analysis in Optimization

19. Convergence of Approximations to Nonlinear Optimal Control Problems

20. A Perturbation-Based Duality Classification for Max-Flow Min-Cut Problems of Strang and Iri

21. Central and Peripheral Results in the Study of Marginal and Performance Functions

22. Topological Stability of Feasible Sets in Semi-infinite Optimization: A Tutorial

23. Solution Existence for Infinite Quadratic Programming

24. Sensitivity Analysis of Nonlinear Programming Problems via Minimax Functions

25. Parametric Linear Complementarity Problems

26. Sufficient Conditions for Weak Sharp Minima of Order Two and Directional Derivatives of the Value Function

27. Index