A note on eigenvalues of perturbed Hermi
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Chi-Kwong Li; Ren-Cang Li
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Article
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2005
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Elsevier Science
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English
β 183 KB
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