The Partial Order Graph for a ZME-Matrix
Document Type
Article
Publication Date
11-1-1990
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
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.
Publication Title
Linear Algebra and Its Applications
Volume
141
First Page
123
Last Page
152
Recommended Citation
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