Non-conservative perturbations of homoclinic snaking scenarios. - In: Journal of differential equations, ISSN 1090-2732, Bd. 260 (2016), 1, S. 517-566
http://dx.doi.org/10.1016/j.jde.2015.09.005
Linear relations and the Kronecker canonical form. - In: Linear algebra and its applications, ISSN 0024-3795, Bd. 488 (2016), S. 13-44
http://dx.doi.org/10.1016/j.laa.2015.09.033
Copositivity tests based on the linear complementarity problem. - In: Computational optimization and applications, 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
Characterization of properly optimal elements with variable ordering structures. - In: Optimization, 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
Spectral points of type π+ and type π- of closed operators in indefinite inner product spaces. - In: Operators and matrices, Bd. 9 (2015), 3, S. 481-506
Im Titel ist "+" und "-" tiefgestellt
http://dx.doi.org/10.7153/oam-09-30
Universal, non-asymptotic confidence sets for circular means. - In: Geometric Science of Information, (2015), S. 635-642
http://dx.doi.org/10.1007/978-3-319-25040-3_68
Small-area orthogonal drawings of 3-connected graphs. - In: Graph Drawing and Network Visualization, (2015), S. 153-165
http://dx.doi.org/10.1007/978-3-319-27261-0_13
Total Thue colourings of graphs. - In: European journal of mathematics, ISSN 2199-6768, Bd. 1 (2015), 1, S. 186-197
http://dx.doi.org/10.1007/s40879-014-0016-24201
Predictive control of a smart grid: a distributed optimization algorithm with centralized performance properties. - In: 2015 54th IEEE Conference on Decision and Control (CDC), ISBN 978-1-4799-7886-1, (2015), S. 5593-5598
http://dx.doi.org/10.1109/CDC.2015.7403096
Regulation of differential drive robots using continuous time MPC without stabilizing constraints or costs. - In: IFAC-PapersOnLine, ISSN 2405-8963, Bd. 48 (2015), 23, S. 129-135
http://dx.doi.org/10.1016/j.ifacol.2015.11.272