Smaller Gershgorin disks for multiple eigenvalues of complex matrices

Extending an earlier result for real matrices we show that multiple eigenvalues of a complex matrix lie in a reduced Gershgorin disk. One consequence is a slightly better estimate in the real case. Another one is a geometric application. Further results of a similar type are given for normal and alm...

Full description

Saved in:
Bibliographic Details
Published in:Acta mathematica Hungarica 2023-02, Vol.169 (1), p.289-300
Main Authors: Bárány, I., Solymosi, J.
Format: Article
Language:English
Subjects:
Disks
Eigenvalues
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrices (mathematics)
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Extending an earlier result for real matrices we show that multiple eigenvalues of a complex matrix lie in a reduced Gershgorin disk. One consequence is a slightly better estimate in the real case. Another one is a geometric application. Further results of a similar type are given for normal and almost symmetric matrices.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-023-01301-1