Smaller Gershgorin disks for multiple eigenvalues for complex matrices
Rings and Algebras
2022-11-04 v2 Combinatorics
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.
Cite
@article{arxiv.2109.09000,
title = {Smaller Gershgorin disks for multiple eigenvalues for complex matrices},
author = {Imre Bárány and Jozsef Solymosi},
journal= {arXiv preprint arXiv:2109.09000},
year = {2022}
}