Applications of an inequality in information theory to matrices (Q1072614)
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scientific article; zbMATH DE number 3941713
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of an inequality in information theory to matrices |
scientific article; zbMATH DE number 3941713 |
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Applications of an inequality in information theory to matrices (English)
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1986
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The author proves inequalities such as \(per_ KZ\geq per_ KA\prod_{i,j}(z_{ij}/a_{ij})^ bij\) where \(per_ K\) is the sum of all diagonal products over an arbitrary set of permutations, Z, A are any nonnegative matrices with \(per_ KA\) positive, and B is \(b_{ij}=a_{ij}per A(i,j)/per A\).
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doubly stochastic matrix
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permanent
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diagonal equivalence
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