Generalized transitive tournaments and doubly stochastic matrices (Q1194517)
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scientific article; zbMATH DE number 64486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized transitive tournaments and doubly stochastic matrices |
scientific article; zbMATH DE number 64486 |
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Generalized transitive tournaments and doubly stochastic matrices (English)
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27 September 1992
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A characterization by \textit{L. Mirsky} [Z. Wahrscheinlichkeitstheorie Verw. Geb. 1, 319-334 (1963; Zbl 0109.361)] concerning doubly stochastic matrices which are convex combinations of nonidentity permutation matrices was solved by \textit{A. B. Cruse} [Linear Algebra Appl. 26, 45-57 (1979; Zbl 0412.15015)]. The author gives a shorter proof of the Cruse result using the concept of generalized transitive tournament matrices.
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doubly stochastic matrices
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permutation matrices
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transitive tournament matrices
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