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|Title:||On the Lyapunov and Stein equations|
|Keywords:||Inertia of matrices|
|Abstract:||Let L ∈ Cn × n and let H, K ∈ Cn × n be Hermitian matrices. The general inertia theorem gives a complete set of relations between the similarity class of L and the congruence class of H, when the Lyapunov equation LH + HL* = K is satisfied and K > 0. In this paper, we give some relations between the similarity class of L and the congruence class of K, when the Lyapunov equation is satisfied and H > 0. We also consider the corresponding problem with the Stein equation. © 2006 Elsevier Inc. All rights reserved.|
|Appears in Collections:||DMat - Artigos|
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