Recent Publications (since 1999)
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Still G., 'Generalized semi-infinite programming:
Theory, methods', European J. of Operational Research 119, 301-313,
(1999)
pdf-file
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Dutta D., Murty K., Still G., Wilharms J.,
'On the determination of the maximum turnable state of a part',
in `Integration of Process Knowledge into Design Support Systems',
Kals/ van Houten (Eds.), Kluwer, 109-118, (1999).
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Stein O., Still G., 'On optimality conditions for
generalized semi-infinite programming problems', Journal of
Optimization Theory and Applications, Vol. 104, 443-458, (2000).
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Pop P., Kern W., Still G., 'Polyhedral aspects and optimality of the generalized minimum spanning tree problem.' 2nd International Conference on Applied Mathematics (Baia Mare, 2000). Bul. \c Stiin\c t. Univ. Baia Mare Ser. B Fasc. Mat.-Inform. 16, no.\ 1, (2000).
- Still G., 'Generalized semi-infinite programming:
Numerical aspects', Optimization 49, No. 3, 223-242, (2001)
pdf-file (preprint)
- Jonker P, Still G., Twilt F.,
'On parametric linear-quadratic optimization problems',
Annals of Oper. Research 101, 221-253, (2001)
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Still G., 'How to split the eigenvalues of a one-parameter
family
of matrices', Optimization 49, No.4, 387-399, (2001).
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Hettich R.,Still G., 'Semi-infinite programming:
Second order optimality conditions', in C.A. Floudas and P.M. Pardalos
(eds.):Encyclopedia of Optimization, Kluwer Academic Publishers,
volume 5,
pages 117-121 (2001).
- Still G., 'Discretization in semi-infinite programming:
Rate of convergence', Math. Program., Ser. A 91, 53-69, (2001).
ps-file (peprint)
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Still. G, `Linear bilevel problems: Genericity results and an efficient method for computing local minima',
Math. Methods Oper. Res. 55, no. 3, 383--400, (2002).
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Stein O., Still G., 'On generalized semi-infinite
optimization and bilevel optimization',
in European J. of Operational Research, 142, Issue 3, 444-462, (2002).
ps-file (preprint)
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Still G., ` Optimization problems with infinitely
many constraints', Bul. Stiint. Univ. Baia Mare, Ser. B, Matematica-Informatica, Vol. XViii, Nr.2, 343-354,
(2003).
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Still G., 'Approximation theory methods for solving elliptic eigenvalue problems',
Z. Angew. Math. Mech. 83, No.~7, 468-478, (2003).
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Stein O., Still G., 'Solving semi-infinite optimization problems with interior point techniques' SIAM J. Control Optim. 42, no. 3, 769--788, (2003).
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Still G., 'Solving generalized semi-infinite programs by reduction to simpler problems}. Optimization 53, no. 1, 19--38, (2004).
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Still G., 'Approximation and optimization: Classical Results
and new developments', Proceedings of PARAOPT~VII, in `Aportationes Matematicas', (eds.~
J. Guddat et al.), pp.~207-233, (2004).
ps-file (preprint)
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Pop, Petrica; Still, Georg, A direct way to obtain strong duality results in linear semidefinite and linear semi-infinite programming. Mathematica 47(70) (2005), no. 1, 105--112.
- Kern W., Pop, Petrica; Still, Georg,
Approximation Theory in Combinatorial Optimization.
Application to the generalized minimum spanning
tree problem.
Revue d'Analyse Numerique et de
Theorie de l'Approximation
34, No. 1, 93-102, 2005.
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Birbil, S. I.; Bouza, G.; Frenk, J. B. G.; Still, G. Equilibrium constrained optimization problems. European J. Oper. Res. 169 (2006), no. 3, 1108--1127.
pdf-file (preprint)
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Pop, Petrica C.; Kern, W.; Still, G. A new relaxation method for the generalized minimum spanning tree problem. European J. Oper. Res. 170 (2006), no. 3, 900--908.
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Lin, Lai-Jiu; Still, Georg Mathematical programs with equilibrium constraints: the existence of feasible point. Optimization 55 (2006), no. 3, 205--219.
pdf-file (preprint)
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López, Marco; Still, Georg Semi-infinite programming. European J. Oper. Res. 180 (2007), no. 2, 491--518.
pdf-file (preprint)
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Birbil, \c S. \.I.; Frenk, J. B. G.; Still, G. J. An elementary proof of the Fritz-John and Karush-Kuhn-Tucker conditions in nonlinear programming. European J. Oper. Res. 180 (2007), no. 1, 479--484.
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G. Bouza, G. Still, Mathematical programs with complementarity constraints: Convergence properties of a smoothing method, Mathematics of Operations research 32, 2, 467-483, (2007).
pdf-file (preprint)
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M. Duer, B. Jargalsaikhan, G. Still, Genericity results in linear conic programming -a tour d'horizon, (2015)
pdf-file (preprint)
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F. Ahmed, G. Still, Quadratic maximization on the unit simplex:
structure, stability, genericity and application in biology,
Preprint, University of Twente, (2013)
pdf-file (preprint)
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