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Perturbation behavior of a multiple eigenvalue in

✍ Scribed by Yuji Nakatsukasa


Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
393 KB
Volume
50
Category
Article
ISSN
0006-3835

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be Hermitian matrices with eigenvalues Ξ» 1 β€’ β€’ β€’ Ξ» k and Ξ» 1 β€’ β€’ β€’ Ξ» k , respectively. Denote by E the spectral norm of the matrix E, and Ξ· the spectral gap between the spectra of H 1 and H 2 . It is shown that , which improves all the existing results. Similar bounds are obtained for singular valu