The present study is intended to demonstrate that for a descriptor system with matrix pencil there exists a matrix such that matrix and matrix pencil have the same positive and negative eigenvalues. It is also shown that matrix can be calculated as a contour integral. On the other hand, different representations for matrix are introduced.
Aasaraai, Asadollah and Pirbazari, Kameleh N.
On the Eigenvalue and Inertia Problems for Descriptor Systems,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
2, Article 27.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss2/27