On the Lyapunov and Stein equations

Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/5472

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DC Field	Value	Language
dc.contributor.author	Silva, Fernando	pt
dc.contributor.author	Simões, Rita	pt
dc.date.accessioned	2012-01-26T15:27:14Z	-
dc.date.available	2012-01-26T15:27:14Z	-
dc.date.issued	2007	-
dc.identifier.uri	http://hdl.handle.net/10773/5472	-
dc.description.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.	pt
dc.language.iso	eng	-
dc.relation.uri	dx.doi.org/10.1016/j.laa.2006.07.025	-
dc.rights	restrictedAccess	por
dc.subject	Inertia of matrices	pt
dc.subject	Lyapunov equation	pt
dc.subject	Stein equation	pt
dc.title	On the Lyapunov and Stein equations	pt
dc.type	article	pt
dc.peerreviewed	yes	pt
ua.distribution	international	pt
degois.publication.firstPage	329	pt
degois.publication.issue	2-3	-
degois.publication.lastPage	338	pt
degois.publication.title	Linear Algebra and Its Applications	pt
degois.publication.volume	420	pt
dc.date.embargo	10000-01-01	por
Appears in Collections:	DMat - Artigos

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