Title: Completely positive cones: Are they facially exposed?
Abstract: Whether the n×n completely positive cone for n≥5 is facially exposed is an open problem raised by Berman et al. in 2015. In this paper, we give a class of non-exposed faces of the 5×5 completely positive cone, which implies that the 5×5 completely positive cone is not facially exposed. By embedding the 5×5 completely positive cone into the n×n completely positive cone for n>5, we further show that the n×n completely positive cone is not facially exposed for n>5.
Publication Year: 2018
Publication Date: 2018-12-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 8
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