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...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Boston, MA :
Springer US : Springer e-books
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Nonconvex Optimization and Its Applications
78 |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Quadratic programming and affine variational inequalities, a qualitative study, Gue Myung Lee, Nguyen Nang Tam and Nguyen Dong Yen, New-York, Springer, 2005, xiii - 345 p., Nonconvex optimization and its applications, 0-387-24277-5 |
Inhaltsangabe:
- 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