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Veröffentlichungen am Institut für Mathematik seit 1990

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Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten;
Bounds on the non-real spectrum of a singular indefinite Sturm-Liouville operator on R - Ilmenau : Technische Universität, Institut für Mathematik, 2016 - 1 Online-Ressource (4 Seiten). . - (Preprint. - M16,05)

A simple explicit bound on the absolute values of the non-real eigenvalues of a singular indefinite Sturm-Liouville operator on the real line with the weight function sgn(&hahog;) and an integrable, continuous potential q is obtained.



https://www.db-thueringen.de/receive/dbt_mods_00029271
Gernandt, Hannes; Trunk, Carsten;
On the parametric eigenvalue behavior of matrix pencils under rank one perturbations - Ilmenau : Technische Universität, Institut für Mathematik, 2016 - 1 Online-Ressource (8 Seiten). . - (Preprint. - M16,04)

We study the eigenvalues of rank one perturbations of regular matrix pencils depending linearly on a complex parameter. We prove properties of the corresponding eigenvalue sets including a convergence result as the parameter tends to infinity and an eigenvalue interlacing property for real valued pencils having real eigenvalues only.



https://www.db-thueringen.de/receive/dbt_mods_00029233
Ilchmann, Achim; Selig, Tilman; Trunk, Carsten;
The Byrnes-Isidori form for infinite-dimensional systems. - In: SIAM journal on control and optimization - Philadelphia, Pa : Soc, ISSN 1095-7138, Bd. 54 (2016), 3, S. 1504-1534

http://dx.doi.org/10.1137/130942413
Eichfelder, Gabriele; Jahn, Johannes;
Vector and set optimization. - In: Multiple criteria decision analysis : state of the art surveys. - New York : Springer, ISBN 978-1-4939-3094-4, (2016), S. 695-737

This chapter is devoted to recent developments of vector and set optimization. Based on the concept of a pre-order optimal elements are defined. In vector optimization properties of optimal elements and existence results are gained. Further, an introduction to vector optimization with a variable ordering structure is given. In set optimization basic concepts are summed up.



http://dx.doi.org/10.1007/978-1-4939-3094-4_17
Przybyło, Jakub; Schreyer, Jens; Škrabul'áková, Erika;
On the facial Thue choice number of plane graphs via entropy compression method. - In: Graphs and combinatorics - Tokyo : Springer-Verl. Tokyo, ISSN 1435-5914, Bd. 32 (2016), 3, S. 1137-1153

http://dx.doi.org/10.1007/s00373-015-1642-2
Behrndt, Jussi; Möws, Roland; Trunk, Carsten;
Eigenvalue estimates for operators with finitely many negative squares - Ilmenau : Technische Universität, Institut für Mathematik, 2016 - 1 Online-Ressource (14 Seiten). . - (Preprint. - M16,02)

Let A and B be selfadjoint operators in a Krein space. Assume that the re- solvent difference of A and B is of rank one and that the spectrum of A consists in some interval I of isolated eigenvalues only. In the case that A is an operator with finitely many negative squares we prove sharp estimates on the number of eigenvalues of B in the interval I. The general results are applied to singular indefinite Sturm-Liouville problems.



https://www.db-thueringen.de/receive/dbt_mods_00029046
Harant, Jochen; Mohr, Samuel;
Maximum weighted induced subgraphs. - In: Discrete mathematics - Amsterdam [u.a.] : Elsevier, Bd. 339 (2016), 7, S. 1954-1559

http://dx.doi.org/10.1016/j.disc.2015.07.013
Worthmann, Karl; Braun, Philipp; Proch, Michael; Schlüchtermann, Jörg; Pannek, Jürgen;
On contractual periods in supplier development. - In: IFAC-PapersOnLine - Frankfurt : Elsevier, ISSN 2405-8963, Bd. 49 (2016), 2, S. 60-65

http://dx.doi.org/10.1016/j.ifacol.2016.03.011
Axenovich, Maria; Harant, Jochen; Przybyło, Jaromir; Soták, Roman; Voigt, Margit; Weidelich, Jenny;
A note on adjacent vertex distinguishing colorings of graphs. - In: Discrete applied mathematics - [S.l.] : Elsevier, Bd. 205 (2016), S. 1-7

http://dx.doi.org/10.1016/j.dam.2015.12.005
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Möws, Roland; Trunk, Carsten;
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces. - In: Journal of mathematical analysis and applications - Amsterdam [u.a.] : Elsevier, Bd. 439 (2016), 2, S. 864-895

http://dx.doi.org/10.1016/j.jmaa.2016.03.012