Which nonnegative matrices are slack matrices?

Detalhes bibliográficos
Autor(a) principal: Gouveia, João
Data de Publicação: 2013
Outros Autores: Grappe, Roland, Kaibel, Volker, Pashkovich, Kanstantsin, Robinson, Richard Z., Thomas, Rekha R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/44193
https://doi.org/10.1016/j.laa.2013.08.009
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.
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spelling 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.Elsevier2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44193http://hdl.handle.net/10316/44193https://doi.org/10.1016/j.laa.2013.08.009https://doi.org/10.1016/j.laa.2013.08.009enghttps://doi.org/10.1016/j.laa.2013.08.009Gouveia, JoãoGrappe, RolandKaibel, VolkerPashkovich, KanstantsinRobinson, Richard Z.Thomas, Rekha R.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2021-06-29T10:03:03Zoai:estudogeral.uc.pt:10316/44193Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:32.029805Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Which nonnegative matrices are slack matrices?
title Which nonnegative matrices are slack matrices?
spellingShingle Which nonnegative matrices are slack matrices?
Gouveia, João
title_short Which nonnegative matrices are slack matrices?
title_full Which nonnegative matrices are slack matrices?
title_fullStr Which nonnegative matrices are slack matrices?
title_full_unstemmed Which nonnegative matrices are slack matrices?
title_sort Which nonnegative matrices are slack matrices?
author Gouveia, João
author_facet Gouveia, João
Grappe, Roland
Kaibel, Volker
Pashkovich, Kanstantsin
Robinson, Richard Z.
Thomas, Rekha R.
author_role author
author2 Grappe, Roland
Kaibel, Volker
Pashkovich, Kanstantsin
Robinson, Richard Z.
Thomas, Rekha R.
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Gouveia, João
Grappe, Roland
Kaibel, Volker
Pashkovich, Kanstantsin
Robinson, Richard Z.
Thomas, Rekha R.
description 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.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/44193
http://hdl.handle.net/10316/44193
https://doi.org/10.1016/j.laa.2013.08.009
https://doi.org/10.1016/j.laa.2013.08.009
url http://hdl.handle.net/10316/44193
https://doi.org/10.1016/j.laa.2013.08.009
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.laa.2013.08.009
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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