• search hit 70 of 1103
Back to Result List

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.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Christian Mehl, Volker Mehrmann, Michal Wojtylak
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
Verstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.