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 On the Lyapunov and Stein equations
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/5472

title: On the Lyapunov and Stein equations
authors: Silva, Fernando
Simões, Rita
keywords: Inertia of matrices
Lyapunov equation
Stein equation
issue date: 2007
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.
URI: http://hdl.handle.net/10773/5472
source: Linear Algebra and Its Applications
appears in collectionsMAT - Artigos

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