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.

Detalhes bibliográficos
Autor principal: Gouveia, João (author)
Outros Autores: Grappe, Roland (author), Kaibel, Volker (author), Pashkovich, Kanstantsin (author), Robinson, Richard Z. (author), Thomas, Rekha R. (author)
Formato: article
Idioma:eng
Publicado em: 2013
Texto completo:http://hdl.handle.net/10316/44193
País:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/44193
Descrição
Resumo: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.