Totally nonpositive completions on partial matrices

Detalhes bibliográficos
Autor(a) principal: Araújo, C. Mendes
Data de Publicação: 2006
Outros Autores: Torregrosa, Juan R., Urbano, Ana M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/5741
Resumo: An n £ n real matrix is said to be totally no positive if every minor is no positive. In this paper, we are interested in totally no positive completion problems, that is, does A partial totally no positive matrix have a totally no positive matrix completion? This Problem has, in general, a negative answer. Therefore, we analyze the question: for which Labelled graphs G does every partial totally no positive matrix, whose associated graph is G, have a totally no positive completion? Here we study the mentioned problem when G Is a choral graph or an undirected cycle.
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spelling Totally nonpositive completions on partial matricesPartial matrixTotally nonpositive matrixGraphCompletion problemscompletion problemundirected graphsScience & TechnologyAn n £ n real matrix is said to be totally no positive if every minor is no positive. In this paper, we are interested in totally no positive completion problems, that is, does A partial totally no positive matrix have a totally no positive matrix completion? This Problem has, in general, a negative answer. Therefore, we analyze the question: for which Labelled graphs G does every partial totally no positive matrix, whose associated graph is G, have a totally no positive completion? Here we study the mentioned problem when G Is a choral graph or an undirected cycle.Spanish DGI grant number BFM2001-0081-C03-02 and Generalitat Valenciana GRUPOS03/062Fundação para a Ciência e a Tecnologia (FCT)ElsevierUniversidade do MinhoAraújo, C. MendesTorregrosa, Juan R.Urbano, Ana M.2006-032006-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/5741eng"Linear Algebra and its Applications". ISSN 0024-3795. 413:2-3 (Mar. 2006) 403-424.0024-379510.1016/j.laa.2005.05.013www.sciencedirect.cominfo: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:RCAAP2023-07-21T12:25:34Zoai:repositorium.sdum.uminho.pt:1822/5741Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:19:49.964374Repositório 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 Totally nonpositive completions on partial matrices
title Totally nonpositive completions on partial matrices
spellingShingle Totally nonpositive completions on partial matrices
Araújo, C. Mendes
Partial matrix
Totally nonpositive matrix
Graph
Completion problems
completion problem
undirected graphs
Science & Technology
title_short Totally nonpositive completions on partial matrices
title_full Totally nonpositive completions on partial matrices
title_fullStr Totally nonpositive completions on partial matrices
title_full_unstemmed Totally nonpositive completions on partial matrices
title_sort Totally nonpositive completions on partial matrices
author Araújo, C. Mendes
author_facet Araújo, C. Mendes
Torregrosa, Juan R.
Urbano, Ana M.
author_role author
author2 Torregrosa, Juan R.
Urbano, Ana M.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Araújo, C. Mendes
Torregrosa, Juan R.
Urbano, Ana M.
dc.subject.por.fl_str_mv Partial matrix
Totally nonpositive matrix
Graph
Completion problems
completion problem
undirected graphs
Science & Technology
topic Partial matrix
Totally nonpositive matrix
Graph
Completion problems
completion problem
undirected graphs
Science & Technology
description An n £ n real matrix is said to be totally no positive if every minor is no positive. In this paper, we are interested in totally no positive completion problems, that is, does A partial totally no positive matrix have a totally no positive matrix completion? This Problem has, in general, a negative answer. Therefore, we analyze the question: for which Labelled graphs G does every partial totally no positive matrix, whose associated graph is G, have a totally no positive completion? Here we study the mentioned problem when G Is a choral graph or an undirected cycle.
publishDate 2006
dc.date.none.fl_str_mv 2006-03
2006-03-01T00:00:00Z
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/1822/5741
url http://hdl.handle.net/1822/5741
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Linear Algebra and its Applications". ISSN 0024-3795. 413:2-3 (Mar. 2006) 403-424.
0024-3795
10.1016/j.laa.2005.05.013
www.sciencedirect.com
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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