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| dc.contributor | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
|---|---|
| dc.contributor | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
| dc.contributor.author | Mingueza, David |
| dc.contributor.author | Montoro López, María Eulalia |
| dc.contributor.author | Pacha Andújar, Juan Ramón |
| dc.date | 2013-10-26 |
| dc.identifier.citation | Mingueza, D.; Montoro, M.; Pacha, J. Description of characteristic non-hyperinvariant subspaces over the field GF(2). "Linear algebra and its applications", 26 Octubre 2013, vol. 439, núm. 12, p. 3734-3745. |
| dc.identifier.citation | 0024-3795 |
| dc.identifier.citation | 10.1016/j.laa.2013.10.025 |
| dc.identifier.uri | http://hdl.handle.net/2117/21028 |
| dc.description.abstract | Given a square matrix A, an A-invariant subspace is called hyperinvariant (respectively, characteristic) if and only if it is also invariant for all matrices T (respectively, nonsingular matrices T) that commute with A. Shodaʼs Theorem gives a necessary and sufficient condition for the existence of characteristic non-hyperinvariant subspaces for a nilpotent matrix in GF(2). Here we present an explicit construction for all subspaces of this type. |
| dc.description.abstract | Peer Reviewed |
| dc.language.iso | eng |
| dc.publisher | Elsevier |
| dc.relation | http://authors.elsevier.com/sd/article/S0024379513006599 |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights | info:eu-repo/semantics/openAccess |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject | Matrices |
| dc.subject | Matrius (Matemàtica) |
| dc.title | Description of characteristic non-hyperinvariant subspaces over the field GF(2) |
| dc.type | info:eu-repo/semantics/publishedVersion |
| dc.type | info:eu-repo/semantics/article |
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