On a Lyapunov type equation related to parabolic spectral dichotomy
The electronic journal of linear algebra, Tome 15 (2006), pp. 134-142.

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Summary: A Lyapunov type equation characterizing the spectral dichotomy of a matrix by a parabola is proposed and analyzed. The results can be seen as the analogue of the classical Lyapunov stability theorems.
Classification : 65F15, 93D05
Keywords: eigenvalue, Lyapunov equation, spectral dichotomy
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     title = {On a {Lyapunov} type equation related to parabolic spectral dichotomy},
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Ali, Mouhamad Al Sayed; Sadkane, Miloud. On a Lyapunov type equation related to parabolic spectral dichotomy. The electronic journal of linear algebra, Tome 15 (2006), pp. 134-142. http://geodesic.mathdoc.fr/item/ELA_2006__15__a19/