Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10138826 | Linear Algebra and its Applications | 2018 | 14 Pages |
Abstract
Whether the nÃn completely positive cone for nâ¥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 5Ã5 completely positive cone, which implies that the 5Ã5 completely positive cone is not facially exposed. By embedding the 5Ã5 completely positive cone into the nÃn completely positive cone for n>5, we further show that the nÃn completely positive cone is not facially exposed for n>5.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Qinghong Zhang,