Recent developments of matrix versions of the arithmetic-geometric mean inequality (Q259001)
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scientific article; zbMATH DE number 6553488
| Language | Label | Description | Also known as |
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| English | Recent developments of matrix versions of the arithmetic-geometric mean inequality |
scientific article; zbMATH DE number 6553488 |
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Recent developments of matrix versions of the arithmetic-geometric mean inequality (English)
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10 March 2016
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This article surveys some recent developments of matrix versions of the arithmetic-geometric mean inequality. Special attention is paid to \textit{X.-Z. Zhan}'s inequality [SIAM J. Matrix Anal. Appl. 20, No. 2, 466--470 (1998; Zbl 0921.15011)]. Remark. In Theorem 7.3, it seems not clear to the reviewer why \(A^rB^{2-r}+A^{2-r}B^r\) should have all eigenvalues real.
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arithmetic-geometric mean inequality
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Heinz inequality
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unitarily invariant norm
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singular value
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Hadamard product
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