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Prof. Dr. Michael Stiebitz

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Publications

Publications at the institute since 1990

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Hildenbrandt, Regina;
A new competitive ratio of the Harmonic algorithm for a k-server problem with parallel requests and unit distances. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2013. - Online-Ressource (PDF-Datei: 15 S., 152,8 KB). . - (Preprint. - M13,10)
http://www.db-thueringen.de/servlets/DocumentServlet?id=22488
Lorenz, Pierre; Klöppel, Michaell; Frost, Frank; Ehrhardt, Martin; Zimmer, Klaus; Li, Pu
Laser-induced circular nanostructures in fused silica assisted by a self-assembling chromium layer. - In: Applied surface science : a journal devoted to applied physics and chemistry of surfaces and interfaces.. - Amsterdam : Elsevier, Bd. 280 (2013), S. 933-939

http://dx.doi.org/10.1016/j.apsusc.2013.05.102
Vogel, Silvia; Schettler, Anne
A uniform concentration-of-measure inequality for multivariate kernel density estimators. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2013. - Online-Ressource (PDF-Datei: 10 S., 264,6 KB). . - (Preprint. - M13,09)
http://www.db-thueringen.de/servlets/DocumentServlet?id=22415
Eichfelder, Gabriele; Ha, Truong Xuan Duc
Optimality conditions for vector optimization problems with variable ordering structures. - In: Optimization : a journal of mathematical programming and operations research.. - London [u.a.] : Taylor & Francis, ISSN 1029-4945, Bd. 62 (2013), 5, S. 597-627

Our main concern in this article are concepts of nondominatedness w.r.t. a variable ordering structure introduced by Yu [P.L. Yu, Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives, J. Optim. Theory Appl. 14 (1974), pp. 319-377]. Our studies are motivated by some recent applications e.g. in medical image registration. Restricting ourselves to the case when the values of a cone-valued map defining the ordering structure are Bishop-Phelps cones, we obtain for the first time scalarizing functionals for nondominated elements, Fermat rule, Lagrange multiplier rule and duality results for a single- or set-valued vector optimization problem with a variable ordering structure.



http://dx.doi.org/10.1080/02331934.2011.575939
Winkler, Henrik; Woracek, Harald
Symmetry in de Branges almost Pontryagin spaces. - In: Integral equations and operator theory : IEOT.. - Berlin : Springer, ISSN 1420-8989, Bd. 76 (2013), 2, S. 179-212

http://dx.doi.org/10.1007/s00020-013-2051-7
Berger, Thomas;
Zero dynamics and stabilization for linear DAEs. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2013. - Online-Ressource (PDF-Datei: 19 S., 140 KB). . - (Preprint. - M13,08)
http://www.db-thueringen.de/servlets/DocumentServlet?id=22328
Berger, Thomas; Reis, Timo
Controllability of linear differential-algebraic systems - a survey. - In: Berlin [u.a.] : Springer, ISBN 978-3-642-34927-0, (2013), S. 1-61

Geletu, Abebe; Klöppel, Michaell; Zhang, Hui; Li, Pu
Advances and applications of chance-constrained approaches to systems optimisation under uncertainty. - In: International journal of systems science. - London [u.a.] : Taylor & Francis, ISSN 1464-5319, Bd. 44 (2013), 7, S. 1209-1232

http://dx.doi.org/10.1080/00207721.2012.670310
Bruhn, Henning; Diestel, Reinhard; Kriesell, Matthias; Pendavingh, Rudi; Wollan, Paul;
Axioms for infinite matroids. - In: Advances in mathematics. - Amsterdam [u.a.] : Elsevier, ISSN 1090-2082, Bd. 239 (2013), S. 18-46

http://dx.doi.org/10.1016/j.aim.2013.01.011
Göring, Frank; Harant, Jochen
Prescribed edges and forbidden edges for a cycle in a planar graph. - In: Discrete applied mathematics. - [S.l.] : Elsevier, Bd. 161 (2013), 12, S. 1734-1738

http://dx.doi.org/10.1016/j.dam.2011.08.020