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Birkhoff-von Neumann theorem (Theorem)

An $n \times n$ matrix over $\Re$ is doubly stochastic if and only if it is a convex combination of permutation matrices.



"Birkhoff-von Neumann theorem" is owned by Andrea Ambrosio. [ owner history (1) ]
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See Also: characterizations of majorization


Attachments:
proof of Birkhoff-von Neumann theorem (Proof) by Andrea Ambrosio
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Cross-references: permutation matrices, convex combination, doubly stochastic, matrix

This is version 3 of Birkhoff-von Neumann theorem, born on 2002-11-20, modified 2005-11-28.
Object id is 3610, canonical name is BirkoffVonNeumannTheorem.
Accessed 9289 times total.

Classification:
AMS MSC: 15A51 (Linear and multilinear algebra; matrix theory :: Stochastic matrices)
Pending Errata and Addenda
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