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Plemmons, Robert J.

Regular nonnegative matrices. (English) Zbl 0273.20051

Proc. Am. Math. Soc. 39, 26-32 (1973).
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Cited in 1 Review
Cited in 14 Documents

MSC:

20M99 Semigroups
20G20 Linear algebraic groups over the reals, the complexes, the quaternions
15B48 Positive matrices and their generalizations; cones of matrices
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\textit{R. J. Plemmons}, Proc. Am. Math. Soc. 39, 26--32 (1973; Zbl 0273.20051)
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References:

[1] A. H. Clifford and G. B. Preston, The algebraic theory of semigroups. Vol. I, Mathematical Surveys, No. 7, American Mathematical Society, Providence, R.I., 1961. · Zbl 0111.03403
[2] Dennison R. Brown, On clans of non-negative matrices, Proc. Amer. Math. Soc. 15 (1964), 671 – 674. · Zbl 0126.04502
[3] H. K. Farahat, The semigroup of doubly-stochastic matrices, Proc. Glasgow Math. Assoc. 7 (1966), 178 – 183 (1966). · Zbl 0156.26001
[4] Peter Flor, On groups of non-negative matrices, Compositio Math. 21 (1969), 376 – 382. · Zbl 0194.34005
[5] J. S. Montague and R. J. Plemmons, Doubly stochastic matrix equations, Israel J. Math. 15 (1973), 216 – 229. · Zbl 0273.15014
[6] Oystein Ore, Theory of monomial groups, Trans. Amer. Math. Soc. 51 (1942), 15 – 64. · JFM 68.0039.01
[7] Štefan Schwarz, On the structure of the semigroup of stochastic matrices, Magyar Tud. Akad. Mat. Kutató Int. Közl. 9 (1964), 297 – 311 (1965) (English, with Russian summary). · Zbl 0143.03303
[8] Štefan Schwarz, A note on the structure of the semigroup of doubly-stochastic matrices., Mat. Časopis Sloven. Akad. Vied 17 (1967), 308 – 316 (English, with Loose Russian summary). · Zbl 0157.04902
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