Sinkhorn's theorem
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Sinkhorn's theorem states that every square matrix with positive entries can be written in a certain standard form.
Sinkhorn's theorem - Wikipedia Jump to content From Wikipedia, the free encyclopedia Every square matrix with positive entries can be written in a certain standard form Sinkhorn's theorem states that every square matrix with positive entries can be written in a certain standard form. Theorem [ edit ] If A is an n × n matrix with strictly positive elements, then there exist diagonal matrices D 1 and D 2 with strictly positive diagonal elements such that D 1 AD 2 is doubly stochastic . The matrices D 1 and D 2 are unique up to multiplying the first matrix by a positive number and dividing the se
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