Sinkhorn's theorem states that every square matrix with positive entries can be written in a certain standard form. If A is an n × n matrix with strictly...

uniform if and only if its transition matrix is doubly stochastic. Sinkhorn's theorem states that any matrix with strictly positive entries can be made...

Principal axis theorem (linear algebra) Rank–nullity theorem (linear algebra) Rouché–Capelli theorem (Linear algebra) Sinkhorn's theorem (matrix theory)...

existence of such matrices generalizes Sinkhorn's theorem and the matrices can be computed using the Sinkhorn–Knopp algorithm, which simply consists of...

ISBN 978-0-262-02113-5. MR 0381130. Martin Idel (2016) A review of matrix scaling and Sinkhorn’s normal form for matrices and positive maps arXiv preprint https://arxiv...

& Merino 1995, pp. 43–92 Mostow, G. D. (1955), Some new decomposition theorems for semi-simple groups, Mem. Amer. Math. Soc., vol. 14, American Mathematical...

β Q i j ) {\displaystyle \mu _{ij}^{0}:=\exp(\beta Q_{ij})} // apply Sinkhorn's method while μ ^ {\displaystyle {\hat {\mu }}} has not converged: // update...