I wish to generate doubly stochastic matrices in a method that does not exclude any doubly stochastic matrix. For the time being I’m producing an n*n matrix whose elements are from a Uniform(0,1), then normalising it utilizing the Sinkhorn Knopp algorithm to finish up with a doubly stochastic matrix. My query is does this methodology of producing doubly stochastic matrices exclude the potential for returning any doubly stochastic matrices? I am fairly sure it does not, however how can I present this?
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