13 citations · 26 across the 17 of their papers we have counts for
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math.OC2018★ 9 cited
On circumcenter mappings induced by nonexpansive operators
Heinz H. Bauschke, Hui Ouyang, Xianfu Wang
We introduce the circumcenter mapping induced by a set of (usually nonexpansive) operators. One prominent example of a circumcenter mapping is the celebrated Douglas--Rachford spli…
math.OC2018★ 13 cited
On circumcenters of finite sets in Hilbert spaces
Heinz H. Bauschke, Hui Ouyang, Xianfu Wang
A well-known object in classical Euclidean geometry is the circumcenter of a triangle, i.e., the point that is equidistant from all vertices. The purpose of this paper is to provid…