Nonnegative matrices with zero permanent (Q1916651)
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scientific article; zbMATH DE number 898956
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonnegative matrices with zero permanent |
scientific article; zbMATH DE number 898956 |
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Nonnegative matrices with zero permanent (English)
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6 January 1997
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The authors study the set of nonnegative \(m \times n\) matrices, with \(m \leq n\), whose elements belong either to the set of all nonnegative reals or to a given finite set of nonnegative reals that includes zero. In the finite case an asymptotic expression, as \(n \to \infty\), for the number of matrices with zero permanent is obtained. A standard representation for any nonnegative matrix with zero permanent is also derived.
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asymptotic expression
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number of matrices
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nonnegative matrix with zero permanent
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0.8430797457695007
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0.8430797457695007
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0.7942099571228027
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0.7929834127426147
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