A Note on Computing Eigenvalues of Banded Hermitian Toeplitz Matrices
β Scribed by Trench, William F.
- Book ID
- 118187052
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1993
- Tongue
- English
- Weight
- 386 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1064-8275
- DOI
- 10.1137/0914015
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π SIMILAR VOLUMES
We are concerned with the behavior of the minimum (maximum) eigenvalue A~0 "~ (A~ "~) of an (n + 1) X (n + 1) Hermitian Toeplitz matrix T~(f) where f is an integrable real-valued function. Kac, Murdoch, and Szeg5, Widom, Patter, and R. H. Chan obtained that A}~ 0 -rain f = O(1/n 2k) in the case whe
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