Douglas-Rachford feasibility methods for matrix completion problems

Francisco Javier Aragón Artacho, Jonathan Michael Borwein, Matthew Kyle Tam


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



Douglas-Rachford, projections, reflections, matrix completion, feasibility problems, proteins reconstruction, Hadamard matrices


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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.