New lower bound for the distance to singularity of regular matrix pencils

For regular matrix pencils $\Ac(s)=sE-A$ the distance to the nearest singular pencil in the Frobenius norm of the coefficients is called the distance to singularity. We derive a new lower bound for this distance by using the spectral theory of tridiagonal Toeplitz matrices.

Bibliographic Details
Main Author: Berger, Thomas (Author)
Other Involved Persons: Gernandt, Hannes ; Trunk, Carsten ; Wojtylak, Michał
Format: eBook
Language:English
Published: Ilmenau : Technische Universität, Institut für Mathematik August 2017
Series:Technische Universität Ilmenau. Preprint M17,10
Physical Description:1 Online-Ressource (5 Seiten)
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Ilmenau University Library, Online

Holdings details from Universitätsbibliothek Ilmenau, Online
Shelf Mark: -
Online Access: https://www.db-thueringen.de/receive/dbt_mods_00032786
Online Access: http://nbn-resolving.de/urn:nbn:de:gbv:ilm1-2017200455
Availability: Available - Online.

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