Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the complexity of detecting positive eigenvectors of nonlinear cone
  maps   In recent work with Lins and Nussbaum the first author gave an algorithm that
can detect the existence of a positive eigenvector for order-preserving
homogeneous maps on the standard positive cone. The main goal of this paper is
to determine the minimum number of iterations this algorithm requires. It is
known that this number is equal to the illumination number of the unit ball of
the variation norm. In this paper we determine its illumination number, and
hence provide a sharp lower bound for the running time of the algorithm.

33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th