Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/2870

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dc.contributor.authorAraújo, C. Mendes-
dc.contributor.authorTorregrosa, Juan R.-
dc.contributor.authorUrbano, Ana M.-
dc.date.accessioned2005-09-12T16:08:12Z-
dc.date.available2005-09-12T16:08:12Z-
dc.date.issued2004-03-15-
dc.identifier.citationMendes Araújo, C., Torregrosa, J. R., & Urbano, A. M. (2004, March). The N-matrix completion problem under digraphs assumptions. Linear Algebra and its Applications. Elsevier BV. http://doi.org/10.1016/j.laa.2003.10.017eng
dc.identifier.issn0024-3795eng
dc.identifier.urihttps://hdl.handle.net/1822/2870-
dc.description.abstractAn $n \times n$ matrix is called an $N$--matrix if all principal minors are negative. In this paper, we are interested in the partial $N$--matrix completion problem, when the partial $N$--matrix is non-combinatorially symmetric. In general, this type of partial matrices does not have an $N$--matrix completion. We prove that a non-combinatorially symmetric partial $N$--matrix has an $N$--matrix completion if the graph of its specified entries is an acyclic graph or a cycle. We also prove that there exists the desired completion for partial $N$--matrices such that in its associated graphs the cycles play an important role.eng
dc.description.sponsorshipFundação para a Ciência e a Tecnologia (FCT) - Programa Operacional "Ciência, Tecnologia, Inovação" (POCTI). Spanish DGI - grant number BFM2001-0081-C03-02.por
dc.language.isoengeng
dc.publisherElseviereng
dc.rightsopenAccesseng
dc.subjectPartial matrixeng
dc.subjectMatrix completion problemseng
dc.subjectN-matrixeng
dc.subjectDigrapheng
dc.subjectcompletion problempor
dc.subjectdirected graphspor
dc.titleThe N-matrix completion problem under digraphs assumptionseng
dc.typearticlepor
dc.peerreviewedyeseng
dc.relation.publisherversionwww.sciencedirect.comeng
sdum.pagination213-225eng
sdum.publicationstatuspublishedeng
sdum.volume380eng
oaire.citationStartPage213por
oaire.citationEndPage225por
oaire.citationIssue1-3por
oaire.citationVolume380por
dc.identifier.doi10.1016/j.laa.2003.10.017por
dc.subject.wosScience & Technologypor
sdum.journalLinear Algebra and its Applicationspor
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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