Norm inequalities related to the matrix geometric mean (Q426067)
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scientific article; zbMATH DE number 6044820
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Norm inequalities related to the matrix geometric mean |
scientific article; zbMATH DE number 6044820 |
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Norm inequalities related to the matrix geometric mean (English)
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11 June 2012
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For pairs of positive definite matrices \(A\) and \(B\) this paper proves norm comparisons between several of their matrix means and their \(t\)-generalizations. The proofs rely on showing monotonicity of certain means function of their ordered eigenvalues.
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matrix norm
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matrix geometric mean
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binomial mean
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log Euclidean mean
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positive definite matrix
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eigenvalue majorization
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0.9593478
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0.9395758
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0.9394407
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0.93891704
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0.93535405
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0.9343691
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0.9315721
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