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Lyapunov equations for companion matrices

✍ Scribed by Georg Heinig; Uwe Jungnickel


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
525 KB
Volume
76
Category
Article
ISSN
0024-3795

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In this work we solve the problem of a common solution to the Lyapunov equation for 2 Γ— 2 complex matrices. We show that necessary and sufficient conditions for the existence of a common solution to the Lyapunov equation for 2 Γ— 2 complex matrices A and B is that matrices (A + iΞ±I )(B + iΞ²I ) and (A