2020/12/07 by O. I. Kostyukova, I., Kostyukova O., Tatiana Tchemisova +1 · 1 citation
Engineering · #15B48 #49N15 #90C25 #90C34 #90C46 #FOS: Mathematics #Optimization and Control (math.OC) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2012.03610
openalex publication_date 2020/12/07 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
The paper is devoted to a study of the cone \cop of copositive matrices. Based on the known from semi-infinite optimization concept of immobile indices, we define zero and minimal zero vectors of a subset of the cone \cop and use them to obtain different representations of faces of \cop and the corresponding dual cones. We describe the minimal face of \cop containing a given convex subset of this cone and prove some propositions that allow to obtain equivalent descriptions of the feasible sets of a copositive problems and may be useful for creating new numerical methods based on their regularization.