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Brualdi, Richard A. Notes on the Birkhoff Algorithm for Doubly Stochastic Matrices. Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 191-199. doi: 10.4153/CMB-1982-026-3
@article{10_4153_CMB_1982_026_3,
author = {Brualdi, Richard A.},
title = {Notes on the {Birkhoff} {Algorithm} for {Doubly} {Stochastic} {Matrices}},
journal = {Canadian mathematical bulletin},
pages = {191--199},
year = {1982},
volume = {25},
number = {2},
doi = {10.4153/CMB-1982-026-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-026-3/}
}
TY - JOUR AU - Brualdi, Richard A. TI - Notes on the Birkhoff Algorithm for Doubly Stochastic Matrices JO - Canadian mathematical bulletin PY - 1982 SP - 191 EP - 199 VL - 25 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-026-3/ DO - 10.4153/CMB-1982-026-3 ID - 10_4153_CMB_1982_026_3 ER -
[1] 1. Birkhoff, G., Tres observaciones sobre el algebra lineal, Univ. Nac. Tucuman Rev. Ser. A, 5 (1946), 147-150. Google Scholar
[2] 2. Brualdi, R. A., The diagonal hypergraph of a matrix (bipartite graph), Discrete Math. 27 (1979), 127-147. Google Scholar
[3] 3. Brualdi, R. A. and Gibson, P. M., Convex polyhedra of doubly stochastic matrices. I. Applications of the permanent function, J. Comb. Theory Ser. A. 22 (1977), 194-230. Google Scholar
[4] 4. Brualdi, R. A. and Hedrick, M. B., A unified treatment of nearly reducible and nearly decomposable matrices, Lin. Alg. and its Applies. 24 (1979), 51-73. Google Scholar
[5] 5. Grunbaum, B., Convex Poly topes, Interscience, New York, 1967. Google Scholar
[6] 6. Hartfiel, D. J., A simplified form for nearly reducible and nearly decomposable matrices, Proc. Amer. Math. Soc. 24 (1970), 388-393. Google Scholar
[7] 7. Johnson, D. N., Dulmage, A. L., and Mendelsohn, N. S., On an algorithm of G. Birkhoff concerning doubly stochastic matrices, Canad. Math. Bull. 3 (1960), 237-242. Google Scholar
[8] 8. Marcus, M. and Ree, R., Diagonals of doubly stochastic matrices, Quart. J. Math. Oxford, Ser. (2), 10 (1959), 296-302. Google Scholar
[9] 9. Nishi, A., An elementary proof of Johnson-Dulmage-Mendelsohn's refinement of Birkhoff's theorem on doubly stochastic matrices, Canad. Math. Bull. 22 (1979), 81-86. Google Scholar
[10] 10. Ryser, H. J., Combinatorial Mathematics, Cams Math. Monograph No. 14, Math. Assoc, of America, Washington, D.C., 1963. Google Scholar
[11] 11. Schneider, H., The Birkhoff-Egervary-König theorem for matrices over lattice-ordered groups, Acta Math. Acad. Sci. Hungar. 30 (1977), 91-94. Google Scholar
[12] 12. Witte, F., Doubly stochastic matrices and sequential data association, Part I, Information linkage between applied mathematics and industry, 641-646, Academic Press, New York, 1979. Google Scholar
[13] 13. Witte, F. and Lucas, D., Probabilistic tracking in a multitarget environment, I.E.E.E., 1978, 1212-1219. Google Scholar
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