Geodesic
Convex Sets of Non-Negative Matrices
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 144-157

Voir la notice de l'article provenant de la source Cambridge University Press

In (8) M. V. Menon investigates the diagonal equivalence of a non-negative matrix A to one with prescribed row and column sums and shows that this equivalence holds provided there exists at least one non-negative matrix with these row and column sums and with zeros in exactly the same positions A has zeros. However, he leaves open the question of when such a matrix exists. W. B. Jurkat and H.J. Ryser in (7) study the convex set of all m × n non-negative matrices having given row and column sums. 
Brualdi, R. A. Convex Sets of Non-Negative Matrices. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 144-157. doi: 10.4153/CJM-1968-016-9
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