Which nonnegative matrices are slack matrices?

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.

Bibliographic Details
Main Author: Gouveia, João (author)
Other Authors: Grappe, Roland (author), Kaibel, Volker (author), Pashkovich, Kanstantsin (author), Robinson, Richard Z. (author), Thomas, Rekha R. (author)
Format: article
Language:eng
Published: 2013
Online Access:http://hdl.handle.net/10316/44193
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/44193
Description
Summary: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.