On Bilevel Variational Inequalities Arising in the Analysis of Improper Optimization Problems
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Leonid D. Popov (2001)
The Yugoslav Journal of Operations Research
Michal Červinka (2010)
Kybernetika
In the paper we consider EPCCs with convex quadratic objective functions and one set of complementarity constraints. For this class of problems we propose a possible generalization of the homotopy method for finding stationary points of MPCCs. We analyze the difficulties which arise from this generalization. Numerical results illustrate the performance for randomly generated test problems.
Noor, Muhammad Aslam, Noor, Khalida Inayat (2004)
Applied Mathematics E-Notes [electronic only]
Oosterlee, C.W. (2003)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
L. Popov (2004)
Open Mathematics
For a linear complementarity problem with inconsistent system of constraints a notion of quasi-solution of Tschebyshev type is introduced. It’s shown that this solution can be obtained automatically by Lemke’s method if the constraint matrix of the original problem is copositive plus or belongs to the intersection of matrix classes P 0 and Q 0.
Martin Fuchs (1994)
Commentationes Mathematicae Universitatis Carolinae
We prove the existence of solutions to systems of degenerate variational inequalities.
Ya-Ping Liu, Ya-Yong Tang, Nan-Jing Huang, Yeol Je Cho (1998)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Jiří Outrata, Michal Červinka (2009)
Control and Cybernetics
Siddiqi, A.H., Ansari, Q.H. (1993)
International Journal of Mathematics and Mathematical Sciences
Day, Martin V. (2005)
Applied Mathematics E-Notes [electronic only]
Jochen W. Schmidt (1987)
Numerische Mathematik
Noor, Muhammad Aslam (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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