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Publications

Publications at the institute since 1990

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Berger, Thomas; Trunk, Carsten; Winkler, Henrik
Linear relations and the Kronecker canonical form. - In: Linear algebra and its applications : LAA.. - New York, NY : American Elsevier Publ., Bd. 488 (2016), S. 13-44

http://dx.doi.org/10.1016/j.laa.2015.09.033
Brás, Carmo; Eichfelder, Gabriele; Júdice, Joaquim;
Copositivity tests based on the linear complementarity problem. - In: Computational optimization and applications : an international journal.. - New York, NY [u.a.] : Springer Science + Business Media B.V., ISSN 1573-2894, Bd. 63 (2016), 2, S. 164-493

We present copositivity tests based on new necessary and sufficient conditions which require the solution of linear complementarity problems (LCP). We propose methodologies involving Lemkes method, an enumerative algorithm and a linear mixed-integer programming formulation to solve the required LCPs. Moreover, we discuss a new necessary condition for (strict) copositivity based on solving a linear program, which can be used as a preprocessing step. The algorithms with these three different variants are thoroughly applied to test matrices from the literature and to max-clique instances with matrices of order up to 496×496. We compare our procedures with three other copositivity tests from the literature as well as with a general global optimization solver. The numerical results are very promising and equally good and in many cases better than the results reported elsewhere.



http://dx.doi.org/10.1007/s10589-015-9772-2
Eichfelder, Gabriele; Gerlach, Tobias;
Characterization of properly optimal elements with variable ordering structures. - In: Optimization : a journal of mathematical programming and operations research.. - London [u.a.] : Taylor & Francis, ISSN 1029-4945, Bd. 65 (2016), 3, S. 571-588

In vector optimization with a variable ordering structure, the partial ordering defined by a convex cone is replaced by a whole family of convex cones, one associated with each element of the space. In recent publications, it was started to develop a comprehensive theory for these vector optimization problems. Thereby, also notions of proper efficiency were generalized to variable ordering structures. In this paper, we study the relation between several types of proper optimality. We give scalarization results based on new functionals defined by elements from the dual cones which allow complete characterizations also in the nonconvex case.



http://dx.doi.org/10.1080/02331934.2015.1040793
Philipp, Friedrich; Trunk, Carsten;
Spectral points of type π+ and type π- of closed operators in indefinite inner product spaces. - In: Operators and matrices : OaM.. - Zagreb : Element, Bd. 9 (2015), 3, S. 481-506
- Im Titel ist "+" und "-" tiefgestellt

http://dx.doi.org/10.7153/oam-09-30
Hotz, Thomas; Kelma, Florian; Wieditz, Johannes;
Universal, non-asymptotic confidence sets for circular means. - In: Geometric science of information : second international conference, GSI 2015, Palaiseau, France, October 28-30, 2015 : proceedings.. - Cham : Springer, ISBN 978-3-319-25040-3, (2015), S. 635-642

http://dx.doi.org/10.1007/978-3-319-25040-3_68
Biedl, Therese; Schmidt, Jens M.;
Small-area orthogonal drawings of 3-connected graphs. - In: Graph drawing and network visualization : 23rd international symposium, GD 2015, Los Angeles, CA, USA, September 24-26, 2015 : revised selected papers.. - Cham : Springer, ISBN 978-3-319-27261-0, (2015), S. 153-165

http://dx.doi.org/10.1007/978-3-319-27261-0_13
Schreyer, Jens; Škrabulьáková, Erika;
Total Thue colourings of graphs. - In: European journal of mathematics. - Berlin [u.a.] : Springer, ISSN 2199-6768, Bd. 1 (2015), 1, S. 186-197

http://dx.doi.org/10.1007/s40879-014-0016-24201
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl;
Predictive control of a smart grid: a distributed optimization algorithm with centralized performance properties. - In: 2015 54th IEEE Conference on Decision and Control (CDC) : date: 15-18 Dec. 2015.. - [Piscataway, NJ] : IEEE, ISBN 978-1-4799-7886-1, (2015), S. 5593-5598

http://dx.doi.org/10.1109/CDC.2015.7403096
Worthmann, Karl; Mehrez, Mohamed W.; Zanon, Mario; Mann, George K. I.; Gosine, Raymond G.; Diehl, Moritz;
Regulation of differential drive robots using continuous time MPC without stabilizing constraints or costs. - In: IFAC-PapersOnLine. - Frankfurt : Elsevier, ISSN 2405-8963, Bd. 48 (2015), 23, S. 129-135

http://dx.doi.org/10.1016/j.ifacol.2015.11.272
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl;
A real-time pricing scheme for residential energy systems using a market maker. - In: Proceedings of 2015 Australian Control Conference (AUCC 2015) : Gold Coast, Australia, 05-06 November 2015.. - [Piscataway, NJ] : IEEE, ISBN 978-1-922107-69-5, (2015), S. 259-262

http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7361944