This article is cited in 1 scientific paper (total in 1 paper)
On the number of connected components of the complement of limiting spectrum of Toeplitz band matrices
S. A. Zolotykha, V. A. Stukopinab
a Don State Technical University, Rostov-on-Don, Russia
b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia
We obtain lower bounds for the maximum number of connected components of complement of limiting spectrum of Toeplitz band matrix whose symbol is a Laurent polynomial of a given degree. We also give examples of polynomials which are symbols of Toeplitz matrices whose limiting spectrum divides the complex plane into the given number of connected components.
banded Toeplitz matrices, symbol of the Toeplitz matrix, limiting spectrum, number of connected components.
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S. A. Zolotykh, V. A. Stukopin, “On the number of connected components of the complement of limiting spectrum of Toeplitz band matrices”, Vladikavkaz. Mat. Zh., 18:2 (2016), 41–48
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\by S.~A.~Zolotykh, V.~A.~Stukopin
\paper On the number of connected components of the complement of limiting spectrum of Toeplitz band matrices
\jour Vladikavkaz. Mat. Zh.
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This publication is cited in the following articles:
S. A. Zolotykh, V. A. Stukopin, “Asymptotics of Eigenvalues of Simple Multiloop Banded Toeplitz Matrices of a Special Type”, Math. Notes, 102:4 (2017), 575–579
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