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Publications at the institute since 1990

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Babovsky, Hans;
Translation invariant kinetic models on integer lattices. - In: AIP conference proceedings. - Melville, NY : Inst, ISSN 15517616, Bd. 1628 (2014), S. 640-647

http://dx.doi.org/10.1063/1.4902653
Schmidt, Jens M.;
The Mondshein sequence. - In: Automata, languages, and programming : 41st international colloquium, ICALP 2014, Copenhagen, Denmark, July 8 - 11, 2014 ; proceedings, part I.. - Berlin [u.a.] : Springer, ISBN 978-3-662-43948-7, (2014), S. 967-978

http://dx.doi.org/10.1007/978-3-662-43948-7_80
Eichfelder, Gabriele; Kasimbeyli, Refail
Properly optimal elements in vector optimization with variable ordering structures. - In: Journal of global optimization : an international journal dealing with theoretical and computational aspects of seeking global optima and their applications in science, management and engineering.. - Dordrecht [u.a.] : Springer Science + Business Media B.V, ISSN 1573-2916, Bd. 60 (2014), 4, S. 689-712

http://dx.doi.org/10.1007/s10898-013-0132-4
Winkler, Henrik; Woracek, Harald
A growth condition for Hamiltonian systems related with Krein strings. - In: Acta scientiarum mathematicarum. - Szeged, Bd. 80 (2014), 1/2, S. 31-94

http://dx.doi.org/10.14232/actasm-012-028-8
Huang, Junjie; Sun, Junfeng; Chen, Alatancang; Trunk, Carsten
The invertibility of 2 x 2 operator matrices. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2014. - Online-Ressource (PDF-Datei: 19 S., 305 KB). . - (Preprint. - M14,10)

In this paper the properties of right invertible row operators, i.e., of 1x2 surjective operator matrices are studied. This investigation is based on a specific space decomposition. Using this decomposition, we characterize the invertibility of a 2x2 operator matrix. As an application, the invertibility of Hamiltonian operator matrices is investigated.



http://www.db-thueringen.de/servlets/DocumentServlet?id=25047
Jacob, Birgit; Langer, Matthias; Trunk, Carsten
Variational principles for self-adjoint operator functions arising from second-order systems. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2014. - Online-Ressource (PDF-Datei: 30 S., 455 KB). . - (Preprint. - M14,09)
http://www.db-thueringen.de/servlets/DocumentServlet?id=25046
Terzijska, Dzulia; Porcelli, Margherita; Eichfelder, Gabriele
Multi-objective optimization in the Lorentz force velocimetry framework. - In: Book of digests & program. - Delft, (2014), S. 81-82

Bao, Truong Q.; Eichfelder, Gabriele; Soleimani, Behnam; Tammer, Christiane
Ekeland's variational principle for vector optimization with variable ordering structure. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2014. - Online-Ressource (PDF-Datei: 24 S., 351 KB). . - (Preprint. - M14,08)

There are many generalizations of Ekeland's variational principle for vector optimization problems with fixed ordering structures, i.e., ordering cones. These variational principles are useful for deriving optimality conditions, epsilon-Kolmogorov conditions in approximation theory, and epsilon-maximum principles in optimal control. Here, we present several generalizations of Ekeland's variational principle for vector optimization problems with respect to variable ordering structures. For deriving these variational principles we use nonlinear scalarization techniques. Furthermore, we derive necessary conditions for approximate solutions of vector optimization problems with respect to variable ordering structures using these variational principles and the subdifferential calculus by Mordukhovich.



http://www.db-thueringen.de/servlets/DocumentServlet?id=24755
Boccia, Andrea; , ; ,
Stability and feasibility of state constrained MPC without stabilizing terminal constraints. - In: Systems & control letters. - Amsterdam [u.a.] : Elsevier, ISSN 1872-7956, Bd. 72 (2014), S. 14-21

http://dx.doi.org/10.1016/j.sysconle.2014.08.002
Walkling, Andreas; Neundorf, Werner; Schierz, Christoph; Stockmar, Axel
Erweitertes TI-Verfahren für eine präzisere Erfassung der physiologischen Blendung. - In: Licht 2014. - Ede : Nederlandse Stichting voor Verlichtingskunde (NSW), (2014), insges. 8 S.