Some results on doubly stochastic matrices
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- by Marvin Marcus and Henryk Minc
- Proc. Amer. Math. Soc. 13 (1962), 571-579
- DOI: https://doi.org/10.1090/S0002-9939-1962-0139625-6
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References
- Garrett Birkhoff, Three observations on linear algebra, Univ. Nac. Tucumán. Revista A. 5 (1946), 147–151 (Spanish). MR 0020547 D. König, Theorie der Graphen, Chelsea, New York, 1950.
- Marvin Marcus and Morris Newman, On the minimum of the permanent of a doubly stochastic matrix, Duke Math. J. 26 (1959), 61–72. MR 104679
- Marvin Marcus and Morris Newman, The permanent function as an inner product, Bull. Amer. Math. Soc. 67 (1961), 223–224. MR 122833, DOI 10.1090/S0002-9904-1961-10580-6
- M. Marcus and R. Ree, Diagonals of doubly stochastic matrices, Quart. J. Math. Oxford Ser. (2) 10 (1959), 296–302. MR 117243, DOI 10.1093/qmath/10.1.296 B. L. van der Waerden, Aufgabe 45, Jber. Deutsch. Math. Verein. 35 (1926), 117.
Bibliographic Information
- © Copyright 1962 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 13 (1962), 571-579
- MSC: Primary 15.65
- DOI: https://doi.org/10.1090/S0002-9939-1962-0139625-6
- MathSciNet review: 0139625