Eigenvalue asymptotic expansion for non-Hermitian tetradiagonal Toeplitz matrices with real spectrum (Q6542851)
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scientific article; zbMATH DE number 7852388
| Language | Label | Description | Also known as |
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| English | Eigenvalue asymptotic expansion for non-Hermitian tetradiagonal Toeplitz matrices with real spectrum |
scientific article; zbMATH DE number 7852388 |
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Eigenvalue asymptotic expansion for non-Hermitian tetradiagonal Toeplitz matrices with real spectrum (English)
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23 May 2024
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In this paper, the eigenvalues of certain Toeplitz matrices are studied using the generating function \(a_2 z^2 + a_1 z + a_0 + a_{-1} z^{-1}\), \(a_2, a_{-1} \neq 0\). Concretely, the authors use the Widom formula for the determinants of finite Toeplitz matrices to get a localization of all the eigenvalues.\NSome numerical experiments are given to test the main results.
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Toeplitz matrix
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eigenvalues
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asymptotic expansion
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limiting set
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Laurent polynomial
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