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Smaller Gershgorin disks for multiple eigenvalues of complex matrices

Smaller Gershgorin disks for multiple eigenvalues of complex matrices Extending an earlier result for real matrices we show that multipleeigenvalues of a complex matrix lie in a reduced Gershgorin disk. One consequenceis a slightly better estimate in the real case. Another one is a geometricapplication. Further results of a similar type are given for normal and almostsymmetric matrices. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematica Hungarica Springer Journals

Smaller Gershgorin disks for multiple eigenvalues of complex matrices

Acta Mathematica Hungarica , Volume 169 (1) – Feb 1, 2023

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References (14)

Publisher
Springer Journals
Copyright
Copyright © Akadémiai Kiadó, Budapest, Hungary 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
0236-5294
eISSN
1588-2632
DOI
10.1007/s10474-023-01301-1
Publisher site
See Article on Publisher Site

Abstract

Extending an earlier result for real matrices we show that multipleeigenvalues of a complex matrix lie in a reduced Gershgorin disk. One consequenceis a slightly better estimate in the real case. Another one is a geometricapplication. Further results of a similar type are given for normal and almostsymmetric matrices.

Journal

Acta Mathematica HungaricaSpringer Journals

Published: Feb 1, 2023

Keywords: matrix; eigenvalue; Gershgorin disk; 15A18; 15A42

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