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On the existence of a common eigenvector for all matrices in the commutant of a single matrix
| dc.contributor.author | Magret Planas, Maria dels Dolors |
| dc.contributor.author | Montoro López, María Eulalia |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2013-01-15T10:17:54Z |
| dc.date.created | 2012-09 |
| dc.date.issued | 2012-09 |
| dc.identifier.citation | Magret, M. D.; Montoro, M. On the existence of a common eigenvector for all matrices in the commutant of a single matrix. "Linear algebra and its applications", Setembre 2012, vol. 437, núm. 5, p. 1285-1292. |
| dc.identifier.issn | 0024-3795 |
| dc.identifier.uri | http://hdl.handle.net/2117/17364 |
| dc.description.abstract | The main purpose of this paper is to study common invariant subspaces of any matrix in the centralizer of a given matrix A∈Mn(F), where F denotes an algebraically closed field. In particular, we obtain a necessary and sufficient condition for the existence of a common eigenvector for all the matrices in this set. |
| dc.format.extent | 8 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 | Invariant subspaces |
| dc.title | On the existence of a common eigenvector for all matrices in the commutant of a single matrix |
| dc.type | Article |
| dc.subject.lemac | Invariants |
| 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.2012.04.011 |
| 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/journal/00243795/437/5 |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 11176885 |
| dc.description.version | Postprint (published version) |
| dc.date.lift | 10000-01-01 |
| local.citation.author | Magret, M. D.; Montoro, M. |
| local.citation.publicationName | Linear algebra and its applications |
| local.citation.volume | 437 |
| local.citation.number | 5 |
| local.citation.startingPage | 1285 |
| local.citation.endingPage | 1292 |
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