English

A note on overrelaxation in the Sinkhorn algorithm

Optimization and Control 2021-12-07 v3 Numerical Analysis Numerical Analysis Statistics Theory Statistics Theory

Abstract

We derive an a priori parameter range for overrelaxation of the Sinkhorn algorithm, which guarantees global convergence and a strictly faster asymptotic local convergence. Guided by the spectral analysis of the linearized problem we pursue a zero cost procedure to choose a near optimal relaxation parameter.

Keywords

Cite

@article{arxiv.2012.12562,
  title  = {A note on overrelaxation in the Sinkhorn algorithm},
  author = {Tobias Lehmann and Max-K. von Renesse and Alexander Sambale and André Uschmajew},
  journal= {arXiv preprint arXiv:2012.12562},
  year   = {2021}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-23T21:16:31.835Z