Sign patterns that allow minimal semipositivity (Q1894504)
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scientific article; zbMATH DE number 778265
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sign patterns that allow minimal semipositivity |
scientific article; zbMATH DE number 778265 |
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Sign patterns that allow minimal semipositivity (English)
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25 January 1996
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An \(n \times m\) matrix with real entries \(A\) is semipositive if \(Ax > 0\) (where the inequality is entrywise) for some \(x \geq 0\). \(A\) is minimally semipositive if it is semipositive and no column-deleted submatrix of it is semipositive. The sign patterns of minimally semipositive matrices which have no zero entries are characterized. Of independent interest is a result on complete bipartite subgraphs of bipartite graphs.
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sign patterns
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minimally semipositive matrices
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bipartite graphs
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