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" Quadratic programming and affine variational inequalities "
by Gue Myung Lee, Nguyen Nang Tam, Nguyen Dong Yen.
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BL
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| Record Number
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655038
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dltt
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| Main Entry
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Lee, Gue Myung.
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| Title & Author
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Quadratic programming and affine variational inequalities : a qualitative study /\ by Gue Myung Lee, Nguyen Nang Tam, Nguyen Dong Yen.
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| Publication Statement
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New York, NY :: Springer,, c2005.
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| Series Statement
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Nonconvex optimization and its applications ;; v. 78
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| Page. NO
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xiii, 345 p. ;; 25 cm.
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| ISBN
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0387242775 (hd.bd.)
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: 9780387242774 (hd.bd.)
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| Bibliographies/Indexes
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Includes bibliographical references (p. [329]-341) and index.
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| Contents
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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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| Subject
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Quadratic programming.
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Nonsmooth optimization.
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Variational inequalities (Mathematics)
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| Added Entry
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Tam, Nguyen Nang.
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Yen, Nguyen Dong.
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