The Partial Order Graph for a ZME-Matrix
The spectral projectors for a ZME-matrix form a partially ordered set with respect to a simple combinatorial relation. The relationship between the corresponding partial order graph and the inflation sequence for a set of projectors is investigated. Those directed graphs that correspond to a partial order graph for a ZME-matrix are characterized. The effect on the partial order due to operations on the set of projectors is studied, generalizing a result of Schneider and Stuart.
Linear Algebra and Its Applications
Stuart, J. L.
(1990). The Partial Order Graph for a ZME-Matrix. Linear Algebra and Its Applications, 141, 123-152.
Available at: https://aquila.usm.edu/fac_pubs/7484