Matrices, digraphs and determinants

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dc.contributor.authorMaybee, John S.
dc.contributor.authorOlesky, D.D.
dc.contributor.authorvan den Driessche, P.
dc.contributor.authorWiener, G.
dc.date.accessioned2009-08-14T21:33:55Z
dc.date.available2009-08-14T21:33:55Z
dc.date.copyright1987en
dc.date.issued2009-08-14T21:33:55Z
dc.description.abstractWe present a detailed account of various determinantal formulas in a graph-theoretic form involving paths and cycles in the digraph of the matrix. For cases in which the digraph has special local properties, for example a cutpoint or a bridge, we give particular formulas which are more efficient for computing the determinant than simply using the matrix representation. Applications are also given to characteristic determinants, general minors and cofactors.en
dc.description.sponsorshipNSERC Grant A8214, NSERC Grant A8965 and the University of Victoria Committee on Faculty Research and Travelen
dc.identifier.urihttp://hdl.handle.net/1828/1509
dc.language.isoenen
dc.relation.ispartofseriesDM-445-IRen
dc.subjectdigraph
dc.subjectcycle
dc.subjectdeterminant
dc.subjectminor
dc.subjectcofactor
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Computer Science
dc.subject.departmentDepartment of Mathematics
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleMatrices, digraphs and determinantsen
dc.typeTechnical Reporten

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