Quadratic Programming and Affine Variational Inequalities A Qualitative Study /
This book develops a unified theory on qualitative aspects of nonconvex quadratic programming and affine variational inequalities. The first seven chapters introduce the reader step-by-step to the central issues concerning a quadratic program or an affine variational inequality, such as the solution...
Cote: | Libro Electrónico |
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Auteurs principaux: | , , |
Collectivité auteur: | |
Format: | Électronique eBook |
Langue: | Inglés |
Publié: |
New York, NY :
Springer US : Imprint: Springer,
2005.
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Édition: | 1st ed. 2005. |
Collection: | Nonconvex Optimization and Its Applications ;
78 |
Sujets: | |
Accès en ligne: | Texto Completo |
Table des matières:
- Quadratic Programming Problems
- Existence Theorems for Quadratic Programs
- Necessary and Sufficient Optimality Conditions for Quadratic Programs
- Properties of the Solution Sets of Quadratic Programs
- Affine Variational Inequalities
- Solution Existence for Affine Variational Inequalities
- Upper-Lipschitz Continuity of the Solution Map in Affine Variational Inequalities
- Linear Fractional Vector Optimization Problems
- The Traffic Equilibrium Problem
- Upper Semicontinuity of the KKT Point Set Mapping
- Lower Semicontinuity of the KKT Point Set Mapping
- Continuity of the Solution Map in Quadratic Programming
- Continuity of the Optimal Value Function in Quadratic Programming
- Directional Differentiability of the Optimal Value Function
- Quadratic Programming under Linear Perturbations: I. Continuity of the Solution Maps
- Quadratic Programming under Linear Perturbations: II. Properties of the Optimal Value Function
- Quadratic Programming under Linear Perturbations: III. The Convex Case
- Continuity of the Solution Map in Affine Variational Inequalities.