Douglas-Rachford feasibility methods for matrix completion problems

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

Abstract


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.

doi:10.1017/S1446181114000145

Keywords


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



DOI: http://dx.doi.org/10.21914/anziamj.v55i0.7470



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