Douglas-Rachford Feasibility Methods for Matrix Completion Problems

TL;DR

This paper provides practical guidelines for applying the Douglas-Rachford reflection method to both convex and non-convex matrix completion problems, supported by illustrative examples.

Contribution

It offers general recommendations for effectively using Douglas-Rachford methods in matrix completion, including for non-convex cases, with practical demonstrations.

Findings

Guidelines improve success in matrix completion tasks

Method effective for convex and non-convex problems

Illustrative examples validate recommendations

Abstract

In this paper we give general recommendations for successful application of the Douglas-Rachford reflection method to convex and non-convex real matrix-completion problems. These guidelines are demonstrated by various illustrative examples.