Inside the eigenvalues of certain Hermitian Toeplitz band matrices
✍ Scribed by A. Böttcher; S.M. Grudsky; E.A. Maksimenko
- Book ID
- 108075687
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 979 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
📜 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
In contrast to the Hermitian case, the ``unfair behavior'' of non-Hermitian Toeplitz eigenvalues is still to be unravelled. We propose a general technique for this, which reveals the eigenvalue clusters for symbols from v I . Moreover, we study a thin structure of those clusters in the terms of prop