The distance between the eigenvalues of Hermitian matrices

Bhatia, Rajendra (1986) The distance between the eigenvalues of Hermitian matrices Proceedings of the American Mathematical Society, 96 (1). pp. 41-42. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/1986-096-01/S0002...

Related URL: http://dx.doi.org/10.1090/S0002-9939-1986-0813806-4

Abstract

It is shown that the minmax principle of Ky Fan leads to a quick simple derivation of a recent inequality of V. S. Sunder giving a lower bound for the spectral distance between two Hermitian matrices. This brings out a striking parallel between this result and an earlier known upper bound for the spectral distance due to L. Mirsky.

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Source:Copyright of this article belongs to American Mathematical Society.
ID Code:97449
Deposited On:11 Feb 2013 05:59
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