Sums of totally positive matrices (Q1887488)
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scientific article; zbMATH DE number 2119123
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sums of totally positive matrices |
scientific article; zbMATH DE number 2119123 |
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Sums of totally positive matrices (English)
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26 November 2004
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An \(m\times n\) matrix is called totally positive if all of its minors are positive. The authors prove that an arbitrary \(m\times n\) positive matrix can be written as a sum of at most \(\min\{m, n\}\) totally positive matrices. This generalizes the fact that a positive matrix is the sum of two matrices whose all principal minors are positive.
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matrix sum
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positive matrix
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totally positive matrix
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