Some inequalities for sum and product of positive semidefinite matrices (Q1963927)
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scientific article; zbMATH DE number 1398461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some inequalities for sum and product of positive semidefinite matrices |
scientific article; zbMATH DE number 1398461 |
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Some inequalities for sum and product of positive semidefinite matrices (English)
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3 February 2000
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The authors prove some inequalities on majorization, unitarily invariant norm, trace, and eigenvalue for sum and product of positive semidefinite (Hermitian) matrices. Some open questions proposed by \textit{A. W. Marshall} and \textit{I. Olkin} [Inequalities: Theory of majorization and its applications. Academic Press, New York (1979; Zbl 0437.26007) Ch. 10, pp. 269-270] and related to several inequalities on unitarily invariant norm are solved.
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majorization
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eigenvalue
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singular value
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trace
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unitarily invariant norm
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inequality for sum or product
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positive semidefinite matrices
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