Some inequalities for the Hadamard product of matrices (Q1816925)
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scientific article; zbMATH DE number 951787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some inequalities for the Hadamard product of matrices |
scientific article; zbMATH DE number 951787 |
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Some inequalities for the Hadamard product of matrices (English)
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1 December 1996
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The authors find the best possible bounds for certain functions of the eigenvalues of \((A\circ C)C^{-1}\), where \(A\) is a fixed positive definite (or semidefinite) \(n\times n\) matrix and \(C\) runs through all positive definite \(n\times n\) matrices. One result is that the infimum of the \(k\)th elementary symmetric function of the eigenvalues of \(A\) occurs when \(C=I\).
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Hadamard product
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positive definite matrix
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best possible bounds
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functions of the eigenvalues
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elementary symmetric function of the eigenvalues
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