Estimation of the eigenvalues of AB for \(A>0\), \(B>0\) (Q1071089)
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scientific article; zbMATH DE number 3937341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimation of the eigenvalues of AB for \(A>0\), \(B>0\) |
scientific article; zbMATH DE number 3937341 |
Statements
Estimation of the eigenvalues of AB for \(A>0\), \(B>0\) (English)
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1986
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Lemma 1 claims that \(A^{-1}>0\) if \(A>0\). The estimates indicated in the title are rougher than the trivial ones, nevertheless the bounds are positive.
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positive definite Hermitian matrices
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upper and lower bound for
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eigenvalues
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