Work

Matrix scaling, explicit Sinkhorn limits, and arithmetic

Year: 2019
Type: preprint
Abstract: The process of alternately row scaling and column scaling a positive $n \times n$ matrix $A$ converges to a doubly stochastic positive $n \times n$ matrix $S(A)$, called the \emph{Sinkhorn limit} of $A$. Exact formulae for the Sinkhorn limits of certain symmetric positive $3\times 3$ matrices are computed, and related problems in diophantine approximation are considered.
Language: English
Open Access status: green
OpenAlex ID: W2936739243
Cites: 19
Cited by:
Related to: 10