Quadratic programming and affine variational inequalities
[Book]
a qualitative study /
by Gue Myung Lee, Nguyen Nang Tam, Nguyen Dong Yen.
New York, NY :
Springer,
c2005.
xiii, 345 p. ;
25 cm.
Nonconvex optimization and its applications ;
v. 78
Includes bibliographical references (p. [329]-341) and index.
Notations and abbreviations -- 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.
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Mode of access: World Wide Web.
Quadratic programming and affine variational inequalities : a qualitative study