A SINKHORN-KNOPP FIXED POINT PROBLEM

摘要

We consider a fixed point problem that results from the Sinkhorn-Knopp Algorithm for transforming matrices into doubly stochastic matrices. We analytically find solutions for simpler cases, including the circulant case, we develop and prove a number of properties for the general case, and we examine how solutions to the fixed point problem relate to those of the Sinkhorn-Knopp Algorithm.