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Description of characteristic non-hyperinvariant subspaces in GF(2)
| dc.contributor.author | Mingueza, David |
| dc.contributor.author | Montoro López, María Eulalia |
| dc.contributor.author | Pacha Andújar, Juan Ramón |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2014-09-17T10:09:27Z |
| dc.date.created | 2013-12-16 |
| dc.date.issued | 2013-12-16 |
| dc.identifier.citation | Mingueza, D.; Montoro, M.; Pacha, J. Description of characteristic non-hyperinvariant subspaces in GF(2). "Linear algebra and its applications", 16 Desembre 2013, vol. 439, núm. 12, p. 3734-3746. |
| dc.identifier.issn | 0024-3795 |
| dc.identifier.uri | http://hdl.handle.net/2117/24075 |
| 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 . Shoda's Theorem gives a necessary and sufficient condition for the existence of characteristic non-hyperinvariant subspaces for a nilpotent matrix in GF(2)GF(2). Here we present an explicit construction for all subspaces of this type. |
| dc.format.extent | 13 p. |
| dc.language.iso | eng |
| dc.publisher | Elsevier |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | Algebra |
| dc.subject.other | Hyperinvariant subspaces |
| dc.subject.other | Characteristic subspaces |
| dc.subject.other | Shoda's Theorem |
| dc.title | Description of characteristic non-hyperinvariant subspaces in GF(2) |
| dc.type | Article |
| dc.subject.lemac | Àlgebra |
| dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
| dc.identifier.doi | 10.1016/j.laa.2013.10.025 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::15 Linear and multilinear algebra; matrix theory |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0024379513006599 |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 15143613 |
| dc.description.version | Postprint (published version) |
| dc.date.lift | 10000-01-01 |
| local.citation.author | Mingueza, D.; Montoro, M.; Pacha, J. |
| local.citation.publicationName | Linear algebra and its applications |
| local.citation.volume | 439 |
| local.citation.number | 12 |
| local.citation.startingPage | 3734 |
| local.citation.endingPage | 3746 |
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