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On the eigenvalues of certain generalisations of Toeplitz matrices

โœ Scribed by Seymour V. Parter

Publisher
Springer
Year
1962
Tongue
English
Weight
572 KB
Volume
11
Category
Article
ISSN
0003-9527

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๐Ÿ“œ SIMILAR VOLUMES

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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

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In this article we determine the eigenvalues of sequences of tridiagonal matrices that contain a Toeplitz matrix in the upper left block.