Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On equivalent representations and properties of faces of the cone of
  copositive matrice   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.

30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph