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arxiv: 2109.09000 · v2 · pith:K5PI6QMQ · submitted 2021-09-18 · math.RA · math.CO

Smaller Gershgorin disks for multiple eigenvalues for complex matrices

Imre B\'ar\'any , Jozsef Solymosi This is my paper

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classification math.RA math.CO
keywords matricescomplexeigenvaluesgershgorinmultiplerealalmostanother
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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.

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