Multilinear functional inequalities involving permanents, determinants, and other multilinear functions of nonnegative matrices and \(M\)-matrices (Q1399938)
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scientific article; zbMATH DE number 1957303
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multilinear functional inequalities involving permanents, determinants, and other multilinear functions of nonnegative matrices and \(M\)-matrices |
scientific article; zbMATH DE number 1957303 |
Statements
Multilinear functional inequalities involving permanents, determinants, and other multilinear functions of nonnegative matrices and \(M\)-matrices (English)
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30 July 2003
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The paper deals with permanents, determinants, and other multilinear functions of nonnegative matrices and \(M\)-matrices. The authors obtain various inequalities on permanents and determinants of nonsingular \(M\)-matrices. In addition, they develop upper bounds on the relative error of the permanent resulting from an elementwise perturbation in the off diagonal entries of an \(M\)-matrix.
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M-matrices
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determinants
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permanents
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multilinear functional inequalities
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nonnegative matrices
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upper bounds
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0.7739803194999695
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