References
- Antoniou , A. and Lu , W. S. 2007 . Practical Optimization , Springer .
- Aubin , J.-P. and Frankowska , H. 1990 . Set-valued Analysis , Boston : Birkhäuser .
- Bank , B. , Guddat , J. , Klatte , D. , Kummer , B. and Tammer , K. 1982 . Non-linear Parametric Optimization , Berlin : Akademie-Verlag .
- Bazaraa , M. S. , Sherali , H. D. and Shetty , C. M. 2006 . Nonlinear Programming, Theory and Algorithms , Wiley .
- Conn , A. R. , Gould , N. I.M. and Toint , Ph. L. 2000 . Trust-region Methods , SIAM .
- Conn , A. R. , Scheinberg , K. and Vicente , L. N. 2009 . Introduction to Derivative-free Optimization , SIAM .
- Dempe , S. 2000 . A bundle algorithm applied to bilevel programming problems with non-unique lower level solutions . Comput. Optim. Appl , 15 : 145 – 166 .
- Dempe , S. 2002 . Foundations of Bi-level Programming , Dordrecht , , The Netherlands : Kluwer Academic Publishers .
- Henrion , R. , Outrata , J. V. and Surowiec , T. 2010 . On regular coderivatives in parametric equilibria with non-unique multipliers accepted to Mathematical Programming B
- Ioffe , A. D. and Outrata , J. 2008 . On metric and calmness qualification conditions in subdifferential calculus . Set-Valued Anal , 16 : 199 – 227 .
- Loridan , P. and Morgan , J. 1989 . New results on approximate solutions in two-level optimization . Optimization , 20 ( 6 ) : 819 – 836 .
- Loridan , P. and Morgan , J. ϵ-regularized two-level optimization problems: Approximation and existence results . Optimization – Fifth French-German Conference Castel Novel 1988, Lecture Notes in Mathematics 1405 . pp. 99 – 113 . Springer Verlag .
- Loridan , P. and Morgan , J. 1996 . Weak via strong Stackelberg problem: New results . J. Global Optim , 8 : 263 – 287 .
- Lukšan , L. , Matonoha , C. and Vlček , J. 2004 . Interior-point method for nonlinear nonconvex optimization . Numer. Linear Algebra Appl , 11 : 431 – 453 .
- Lukšan , L. , Matonoha , C. and Vlček , J. 2008 . “ Interior-point method for nonlinear programming with complementarity constraints ” . In Tech. Rep. V-1039 , Institute of Computer Science, Academy of Sciences of the Czech Republic .
- Lukšan , L. , Tůma , M. , Vlček , J. , Ramešová , N. , Šiška , M. , Hartman , J. and Matonoha , C. 2010 . “ UFO 2008 – interactive system for universal functional optimization ” . In Tech. Rep. V-1083 , Prague : Institute of Computer Science, Academy of Sciences of the Czech Republic .
- Luo , Z.-Q. , Pang , J.-S. and Ralph , D. 1996 . Mathematical Programs with Equilibrium Constraints , Cambridge : Cambridge University Press .
- Mitsos , A. , Lemonidis , P. and Barton , P. I. 2008 . Global solution of bilevel programs with a nonconvex inner program . J. Global Optim , 42 : 475 – 513 .
- Mordukhovich , B. S. 2006 . Variational Analysis and Generalized Differentiation , Springer . Vol. 1: Theory, Vol. 2: Applications
- Mordukhovich , B. S. , Nam , N. M. and Yen , N. D. 2009 . Subgradients of marginal functions in parametric mathematical programming . Math. Program , 116 : 369 – 396 .
- Murphy , F. H. , Sherali , H. D. and Soyster , A. L. 1982 . A mathematical programming approach for determining oligopolistic market equilibrium . Math. Program , 24 : 92 – 106 .
- Nocedal , J. and Wright , S. J. 2006 . Numerical Optimization , 2 , Springer .
- Outrata , J. V. , Kočvara , M. and Zowe , J. 1998 . Nonsmooth Approach to Optimization Problems with Equilibrium Constraints , Dordrecht , , The Netherlands : Kluwer Academic Publisher .
- Porcelli , M. and Toint , Ph. L. 2010 . BFO, a Brute force optimizer for mixed integer nonlinear bound-constrained optimization and its self tuning Tech. Rep., Namur Research Center on Complex Systems (NAXYS), in preparation
- Powell , M. J.D. 2009 . The BOBYQA algorithm for bound constrained optimization without derivatives Cambridge Tech. Rep. DAMTP 2009/NA06
- Robinson , S. M. 1976 . “ An implicit function theorem for generalized variational inequalities ” . University of Wisconsin-Madison . Tech. Summary Rep. 1672, Mathematics Research Center
- Rockafellar , R. T. and Wets , R. J.-B. 1998 . Variational Analysis , Berlin : Springer .
- von Stackelberg , H. 1934 . Marktform und Gleichgewicht , Berlin : Springer .