English

Which Nonnegative Matrices Are Slack Matrices?

Optimization and Control 2013-03-25 v1

Abstract

In this paper we characterize the slack matrices of cones and polytopes among all nonnegative matrices. This leads to an algorithm for deciding whether a given matrix is a slack matrix. The underlying decision problem is equivalent to the polyhedral verification problem whose complexity is unknown.

Keywords

Cite

@article{arxiv.1303.5670,
  title  = {Which Nonnegative Matrices Are Slack Matrices?},
  author = {João Gouveia and Roland Grappe and Volker Kaibel and Kanstantsin Pashkovich and Richard Z. Robinson and Rekha R. Thomas},
  journal= {arXiv preprint arXiv:1303.5670},
  year   = {2013}
}

Comments

14 pages

R2 v1 2026-06-21T23:46:44.122Z