On the distance to singularity via low rank perturbations
Please always quote using this URN:urn:nbn:de:0296-matheon-12843
- For regular matrix pencils the distance in norm to the nearest singular pencil under low rank perturbation is studied. Characterizations of this distance are derived via the Weyl function of the perturbation. Special attention is paid to the Hermitian pencil case. Estimates for the distance of a given pencil to the set of singular pencils are obtained.
Author: | Christian Mehl, Volker Mehrmann, Michal Wojtylak |
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URN: | urn:nbn:de:0296-matheon-12843 |
Referee: | Fredi Tröltzsch |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2014/05/06 |
Release Date: | 2014/05/06 |
Tag: | Weyl function; distance to singularity; low rank perturbation; singular pencil |
Institute: | Technische Universität Berlin |
MSC-Classification: | 15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A18 Eigenvalues, singular values, and eigenvectors |
Preprint Number: | 1058 |