Barany, I;
Solymosi, J;
(2023)
Smaller Gershgorin disks for multiple eigenvalues of complex matrices.
Acta Mathematica Hungarica
, 169
pp. 289-300.
10.1007/s10474-023-01301-1.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Smaller Gershgorin disks for multiple eigenvalues of complex matrices |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s10474-023-01301-1 |
| Publisher version: | http://dx.doi.org/10.1007/s10474-023-01301-1 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Physical Sciences, Mathematics, matrix, eigenvalue, Gershgorin disk |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10188034 |
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