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Functions generating normal Toeplitz matrices

✍ Scribed by N. L. Zamarashkin; E. E. Tyrtyshnikov; V. N. Chugunov

Book ID: 110149916
Publisher: SP MAIK Nauka/Interperiodica
Year: 2011
Tongue: English
Weight: 526 KB
Volume: 89
Category: Article
ISSN: 0001-4346
DOI: 10.1134/s0001434611030199

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We derive separate spectral functions for the even and odd spectra of a real symmetric Toeplitz matrix, which are given by the roots of those functions. These are rational functions, also commonly referred to as secular functions. Two applications are considered: spectral evolution as a function of