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A Note on the Eigenvalues of Hermitian Matrices

โœ Scribed by Slepian, David; Landau, Henry J.


Book ID
118198586
Publisher
Society for Industrial and Applied Mathematics
Year
1978
Tongue
English
Weight
526 KB
Volume
9
Category
Article
ISSN
0036-1410

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๐Ÿ“œ SIMILAR VOLUMES


A note on eigenvalues of perturbed Hermi
โœ Chi-Kwong Li; Ren-Cang Li ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB

be Hermitian matrices with eigenvalues ฮป 1 โ€ข โ€ข โ€ข ฮป k and ฮป 1 โ€ข โ€ข โ€ข ฮป k , respectively. Denote by E the spectral norm of the matrix E, and ฮท 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