A Scaling Algorithm to Equilibrate Both Rows and Columns Norms in Matrices 1

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Conic Optimization via Operator Splitting and Homogeneous Self-Dual Embedding (2013, background): “The scaling parameters E, D, σ, and ρ can be chosen to (approximately) achieve this [64,68,71], though the question of whether there is an optimal scaling remains open.”
The Sinkhorn-Knopp Algorithm: Convergence and Applications (2008, unknown): “1”
A review of matrix scaling and Sinkhorn's normal form for matrices and positive maps (2016, background): “Finally, let us mention that algorithms were also developed for infinity norm scaling (cf. Bunch 1971; Ruiz 2001; Knight, Ruiz, and Uçar 2014) and other norm scaling (cf. Ruiz 2001).”