Eigenvalues of matrices with tree graphs

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dc.contributor.authorJeffries, Clark
dc.contributor.authorvan den Driessche, P.
dc.date.accessioned2009-08-28T21:48:22Z
dc.date.available2009-08-28T21:48:22Z
dc.date.copyright1986en
dc.date.issued2009-08-28T21:48:22Z
dc.description.abstractIn this note we consider real matrices whose associated undirected graphs are trees. Our goal is to establish finitely computable tests for the magnitudes of multiplicities of eigenvalues of such matrices. Using our tests for certain system designs expressed as signed directed graphs, the controllability of associated linear dynamical systems can be guaranteed.en
dc.description.sponsorshipNSERC Grant A8965en
dc.identifier.urihttp://hdl.handle.net/1828/1674
dc.language.isoenen
dc.relation.ispartofseriesDM-416-IRen
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleEigenvalues of matrices with tree graphsen
dc.typeTechnical Reporten

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