Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/5472
Título: | On the Lyapunov and Stein equations |
Autor: | Silva, Fernando Simões, Rita |
Palavras-chave: | Inertia of matrices Lyapunov equation Stein equation |
Data: | 2007 |
Resumo: | 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/5472 |
Aparece nas coleções: | DMat - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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LAA0509-519BRFP6961-R.pdf | 152.54 kB | Adobe PDF |
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