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A theorem on the asymptotic eigenvalue distribution of Toeplitz-block-Toeplitz matrices

โœ Scribed by Voois, P.A.


Book ID
119790353
Publisher
IEEE
Year
1996
Tongue
English
Weight
483 KB
Volume
44
Category
Article
ISSN
1053-587X

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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