The eigenvalue distribution of oscillatory and strictly sign-regular matrices (Q1816948)
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scientific article; zbMATH DE number 951808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The eigenvalue distribution of oscillatory and strictly sign-regular matrices |
scientific article; zbMATH DE number 951808 |
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The eigenvalue distribution of oscillatory and strictly sign-regular matrices (English)
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29 April 1997
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A formula is derived for the ratio of two successive eigenvalues of an oscillatory matrix \(A\), the formulae for the eigenvalues being \(\lambda_{p+1} = \lambda_p \lim_{j \to\infty} N(A^j_p)^{1/j} = \lambda_p \inf_{j \in \mathbb{N}} N(A^j_p)^{1/j}\), where \(N\) is the Hopf oscillation ratio. Related formulae are also derived for strictly sign-related matrices.
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eigenvalues
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oscillatory matrix
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Hopf oscillation
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strictly sign-related matrices
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