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Berger, Thomas; Gernandt, Hannes; Trunk, Carsten; Winkler, Henrik; Wojtylak, Michał;
The gap distance to the set of singular matrix pencils - Ilmenau : Technische Universität Ilmenau, Institut für Mathematik, 2018 - 1 Online-Ressource (22 Seiten). . - (Preprint. - M18,05)

We study matrix pencils sE-A using the associated linear subspace ker[A,-E]. The distance between subspaces is measured in terms of the gap metric. In particular, we investigate the gap distance of a regular matrix pencil to the set of singular pencils and provide upper and lower bounds for it. A relation to the distance to singularity in the Frobenius norm is provided.



http://nbn-resolving.de/urn:nbn:de:gbv:ilm1-2018200051
Knobloch, Jürgen; Lamb, Jeroen S. W.; Webster, Kevin N.;
Shift dynamics near non-elementary T-points with real eigenvalues. - In: Journal of difference equations and applications - London [u.a.] : Taylor & Francis, ISSN 1563-5120, Bd. 24 (2018), 4, S. 609-654

https://doi.org/10.1080/10236198.2017.1331890
Hassi, Seppo; Snoo, Henk; Winkler, Henrik;
Limit properties of eigenvalues in spectral gaps. - In: Indefinite inner product spaces, Schur analysis, and differential equations : a volume dedicated to Heinz Langer. - Cham : Birkhäuser, ISBN 978-3-319-68849-7, (2018), S. 335-355

https://doi.org/10.1007/978-3-319-68849-7_13
Braun, Philipp; Faulwasser, Timm; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl;
Hierarchical distributed ADMM for predictive control with applications in power networks. - In: IFAC journal of systems and control - Amsterdam : Elsevier Ltd., ISSN 2468-6018, Bd. 3 (2018), S. 10-22

https://doi.org/10.1016/j.ifacsc.2018.01.001
Müller, Matthias A.; Worthmann, Karl;
On quadratic stage costs for mobile robots in model predictive control. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 17 (2017), 1, S. 825-826

https://doi.org/10.1002/pamm.201710380
Bergmann, Jean Pierre; Bielenin, Martin; Herzog, Roland A.; Hildebrand, Jörg; Riedel, Ilka; Schricker, Klaus; Trunk, Carsten; Worthmann, Karl;
Prevention of solidification cracking during pulsed laser beam welding. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 17 (2017), 1, S. 405-406

https://doi.org/10.1002/pamm.201710172
Berger, Thomas; Gernandt, Hannes; Trunk, Carsten; Winkler, Henrik; Wojtylak, Michał;
A new bound for the distance to singularity of a regular matrix pencil. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 17 (2017), 1, S. 863-864

https://doi.org/10.1002/pamm.201710399
Gernandt, Hannes; Krauße, Dominik; Sommer, Ralf; Trunk, Carsten;
A new method for network redesign via rank one updates. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 17 (2017), 1, S. 857-858

https://doi.org/10.1002/pamm.201710396
Behrndt, Jussi; Gsell, Bernhard; Schmitz, Philipp; Trunk, Carsten;
An estimate on the non-real spectrum of a singular indefinite Sturm-Liouville operator. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 17 (2017), 1, S. 859-860

https://doi.org/10.1002/pamm.201710397
Derkach, Vladimir; Trunk, Carsten;
Coupling of definitizable operators in Kre&bovko;in spaces. - In: Nanosistemy: fizika, chimija, matematika - Sankt-Peterburg, ISSN 2220-8054, Bd. 8 (2017), 2, S. 166-179

https://doi.org/10.17586/2220-8054-2017-8-2-166-179