Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szegö matrices (Q1124902)
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scientific article; zbMATH DE number 1371398
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szegö matrices |
scientific article; zbMATH DE number 1371398 |
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Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szegö matrices (English)
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29 November 1999
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The author gives the asymptotic distribution of the spectrum of a generalized Kac-Murdock-Szegö matrix \(T\) of the order \(n\to\infty\) with entries \(t_{ij}= \alpha r^{|i-j |}+ \beta/r^{|i-j|}\), where \(\alpha\) and \(\beta\) are real and \(0<r<1\).
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Toeplitz matrix
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eigenvalues
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asymptotic distribution
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spectrum
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generalized Kac-Murdock-Szegö matrix
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