Dominant matrices and max algebra (Q624382)
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scientific article; zbMATH DE number 5848741
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dominant matrices and max algebra |
scientific article; zbMATH DE number 5848741 |
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Dominant matrices and max algebra (English)
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9 February 2011
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The author studies the totally dominant matrices and shows that a real matrix is totally dominant if and only if it is 2-subtotally positive. The usual matrix product and max product of two totally dominant matrices are shown to be totally dominant and weakly totally dominant respectively. Every square totally dominant matrix admits a factorization relative to the max product in the similar way as a totally positive matrix does relative to the usual matrix product.
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totally positive matrix
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totally dominant matrix
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factorization
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Monge matrix
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\((0,1)\) matrix
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matrix product
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max product
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