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A note on perturbations which create new point eigenvalues

โœ Scribed by C.C Conley


Publisher
Elsevier Science
Year
1966
Tongue
English
Weight
576 KB
Volume
15
Category
Article
ISSN
0022-247X

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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