English

On the finite convergence of the Douglas-Rachford algorithm for solving (not necessarily convex) feasibility problems in Euclidean spaces

Optimization and Control 2020-04-14 v1 Functional Analysis Numerical Analysis

Abstract

Solving feasibility problems is a central task in mathematics and the applied sciences. One particularly successful method is the Douglas-Rachford algorithm. In this paper, we provide many new conditions sufficient for finite convergence. Numerous examples illustrate our results.

Keywords

Cite

@article{arxiv.1604.04657,
  title  = {On the finite convergence of the Douglas-Rachford algorithm for solving (not necessarily convex) feasibility problems in Euclidean spaces},
  author = {Heinz H. Bauschke and Minh N. Dao},
  journal= {arXiv preprint arXiv:1604.04657},
  year   = {2020}
}