Notes on matrix arithmetic-geometric mean inequalities (Q1977383)
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scientific article; zbMATH DE number 1446352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Notes on matrix arithmetic-geometric mean inequalities |
scientific article; zbMATH DE number 1446352 |
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Notes on matrix arithmetic-geometric mean inequalities (English)
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7 November 2000
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The authors prove that a unitarily invariant norm of 4AB does not exceed that of \((A+B)^2\), for positive semi-definite matrices \(A\), \(B\). Connections with some other matrix arithmetic-geometric mean inequalities and trace inequalities are discussed.
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unitarily invariant norm
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positive semi-definite matrices
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matrix arithmetic-geometric mean inequalities
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trace inequalities
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