Eigenvalue estimates for symmetric matrices (Q913897)
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scientific article; zbMATH DE number 4148313
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvalue estimates for symmetric matrices |
scientific article; zbMATH DE number 4148313 |
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Eigenvalue estimates for symmetric matrices (English)
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1990
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Some localization results for the eigenvalues of real symmetric and positive semi-definite matrices A of order n are given. Among others it is shown that all eigenvalues of a real symmetric A lie in an interval described in terms of the arithmetic mean and the standard deviation of the eigenvalues. Conditions are given which ensure that at most k eigenvalues are above the arithmetic mean.
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eigenvalue estimates
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eigenvalue localization
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real symmetric and positive semi-definite matrices
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arithmetic mean
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