Asymptotics of large eigenvalues for a class of band matrices (Q2855832)
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scientific article; zbMATH DE number 6218008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics of large eigenvalues for a class of band matrices |
scientific article; zbMATH DE number 6218008 |
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22 October 2013
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Jacobi matrix
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band matrix
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eigenvalues
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asymptotics
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0.9506241
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0.9486251
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0.93703604
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0.9169876
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0.90198433
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Asymptotics of large eigenvalues for a class of band matrices (English)
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The authors obtain a simple remainder estimate in the asymptotics of eigenvalues for a large class of symmetric higher order difference operators. The main idea of their approach is the same as in [\textit{A. Boutet de Monvel} and \textit{L. Zielinski}, Oper. Theory, Adv. Appl. 221, 189--217 (2012; Zbl 1282.47044)]. They also apply their result to tridiagonal operators.
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