Inequalities for singular values and traces (Q1188422)
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scientific article; zbMATH DE number 40596
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities for singular values and traces |
scientific article; zbMATH DE number 40596 |
Statements
Inequalities for singular values and traces (English)
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13 August 1992
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A generalization of a result concerning the traces of matrices is investigated. A formula that involves sums of singular values is obtained. This fact gives a matrix version of Minkowski's inequality and generalizes a result of \textit{D. Chen} [Chin. Ann. Math., Ser. A11, No. 1, 128-132 (1990; Zbl 0701.15014)]. An extension and a generalized inequality concerning sums and products of singular values and traces are given. Finally a generalization of Hölders inequality and certain mean inequalities are also presented.
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traces of matrices
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singular values
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Minkowski's inequality
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Hölders inequality
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mean inequalities
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