Mathematical programming with data perturbations 1st Edition by Anthony Fiacco ISBN 1138413259 9781138413252 by Fiacco, Anthony V(editor) 9781003072119, 9781138413252, 9780824700591, 9781000117110, 9781000137934, 0824700597, 1138413259, 1000117111, 1000137937 instant download after payment.

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ISBN 10: 1138413259 
ISBN 13: 9781138413252
Author: Anthony Fiacco

Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.

Mathematical programming with data perturbations 1st Table of contents:

1. Discretization and Mesh-Independence of Newton’s Method for Generalized Equations
2. Extended Quadratic Tangent Optimization Problems
3. On Generalized Differentiability of Optimal Solutions in Nonlinear Parametric Optimization
4. Characterizations of Lipschitzian Stability in Nonlinear Programming
5. On Second Order Sufficient Conditions for Structured Nonlinear Programs in Infinite-Dimensional Function Spaces
6. Algorithmic Stability Analysis for Certain Trust Region Methods
7. A Note on Using Linear Knowledge to Solve Efficiently Linear Programs Specified with Approximate Data
8. On the Role of the Mangasarian–Fromovitz Constraint Qualification for Penalty-, Exact Penalty-, and Lagrange Multiplier Methods
9. Hoffman’s Error Bound for Systems of Convex Inequalities
10. Lipschitzian and Pseudo-Lipschitzian Inverse Functions and Applications to Nonlinear Optimization
11. On Well-Posedness and Stability Analysis in Optimization
12. Convergence of Approximations to Nonlinear Optimal Control Problems
13. A Perturbation-Based Duality Classification for Max-Flow Min-Cut Problems of Strang and Iri
14. Central and Peripheral Results in the Study of Marginal and Performance Functions
15. Topological Stability of Feasible Sets in Semi-infinite Optimization: A Tutorial
16. Solution Existence for Infinite Quadratic Programming
17. Sensitivity Analysis of Nonlinear Programming Problems via Minimax Functions
18. Parametric Linear Complementarity Problems
19. Sufficient Conditions for Weak Sharp Minima of Order Two and Directional Derivatives of the Value 

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