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The Douglas-Rachford reflection method is a general purpose algorithm usefulfor solving the feasibility problem of finding a point in the intersection offinitely many sets. In this chapter we demonstrate that applied to a specificproblem, the method can benefit from heuristics specific to said problem whichexploit its special structure. In particular, we focus on the problem ofprotein conformation determination formulated within the framework of matrixcompletion, as was considered in a recent paper of the present authors.

Reflection methods for inverse problems with application to protein conformation determination