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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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Lee, Gue Myung (Auteur), Tam, N.N (Auteur), Yen, Nguyen Dong (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: New York, NY : Springer US : Imprint: Springer, 2005.
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.