Eigenvalues of matrices with tree graphs

Date

2009-08-28T21:48:22Z

Authors

Jeffries, Clark
van den Driessche, P.

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Abstract

In 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.

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