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Book Categories |
Basic Notation | ||
1 | Introduction | 1 |
2 | Background Material | 8 |
2.1 | Basic Functional Analysis | 8 |
2.2 | Directional Differentiability and Tangent Cones | 34 |
2.3 | Elements of Multifunctions Theory | 54 |
2.4 | Convex Functions | 74 |
2.5 | Duality Theory | 95 |
3 | Optimality Conditions | 146 |
3.1 | First Order Optimality Conditions | 147 |
3.2 | Second Order Necessary Conditions | 162 |
3.3 | Second Order Sufficient Conditions | 186 |
3.4 | Specific Structures | 217 |
3.5 | Nonisolated Minima | 245 |
4 | Stability and Sensitivity Analysis | 260 |
4.1 | Stability of the Optimal Value and Optimal Solutions | 261 |
4.2 | Directional Regularity | 266 |
4.3 | First Order Differentiability Analysis of the Optimal Value Function | 271 |
4.4 | Quantitative Stability of Optimal Solutions and Lagrange Multipliers | 286 |
4.5 | Directional Stability of Optimal Solutions | 303 |
4.6 | Quantitative Stability Analysis by a Reduction Approach | 314 |
4.7 | Second Order Analysis in Lipschitz Stable Cases | 323 |
4.8 | Second Order Analysis in Holder Stable Cases | 347 |
4.9 | Additional Results | 365 |
4.10 | Second Order Analysis in Functional Spaces | 386 |
5 | Additional Material and Applications | 401 |
5.1 | Variational Inequalities | 401 |
5.2 | Nonlinear Programming | 436 |
5.3 | Semi-definite Programming | 470 |
5.4 | Semi-infinite Programming | 496 |
6 | Optimal Control | 527 |
6.1 | Introduction | 527 |
6.2 | Linear and Semilinear Elliptic Equations | 528 |
6.3 | Optimal Control of a Semilinear Elliptic Equation | 539 |
6.4 | The Obstacle Problem | 558 |
7 | Bibliographical Notes | 570 |
References | 583 | |
Index | 595 |
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Add Perturbation Analysis of Optimization Problems, A presentation of general results for discussing local optimality and computation of the expansion of value function and approximate solution of optimization problems, followed by their application to various fields, from physics to economics. The book is, Perturbation Analysis of Optimization Problems to the inventory that you are selling on WonderClubX
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Add Perturbation Analysis of Optimization Problems, A presentation of general results for discussing local optimality and computation of the expansion of value function and approximate solution of optimization problems, followed by their application to various fields, from physics to economics. The book is, Perturbation Analysis of Optimization Problems to your collection on WonderClub |