On the Eigenvalue and Inertia Problems for Descriptor Systems

A. Aasaraai, Kameleh Nasiri Pirbazari · Applications and Applied Mathematics: An International Journal (AAM) · 2010

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.

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