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The eigenvalue distribution of products of Toeplitz matrices – Clustering and attraction

✍ Scribed by Stefano Serra-Capizzano; Debora Sesana; Elizabeth Strouse


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
307 KB
Volume
432
Category
Article
ISSN
0024-3795

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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