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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The distance between the eigenvalues of Hermitian matrices


Author: Rajendra Bhatia
Journal: Proc. Amer. Math. Soc. 96 (1986), 41-42
MSC: Primary 15A42; Secondary 15A60
MathSciNet review: 813806
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0813806-4
PII: S 0002-9939(1986)0813806-4
Keywords: Hermitian matrices, eigenvalues, minmax principle, majorisation
Article copyright: © Copyright 1986 American Mathematical Society