On the distance between normal matrices

Omladič, Matjaž; Šemrl, Peter

doi:10.1090/S0002-9939-1990-1039535-3

On the distance between normal matrices
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by Matjaž Omladič and Peter Šemrl

Proc. Amer. Math. Soc. 110 (1990), 591-596

DOI: https://doi.org/10.1090/S0002-9939-1990-1039535-3

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Abstract:

The least upper bound for the norm distance between two normal matrices is given in terms of their eigenvalues exclusively, thus solving a problem which appears to be long open.

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