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On the existence of a common eigenvector for all matrices in the commutant of a single matrix

Autor
Magret, M. D.; Montoro, M.
Tipus d'activitat
Article en revista
Revista
Linear algebra and its applications
Data de publicació
2012-09
Volum
437
Número
5
Pàgina inicial
1285
Pàgina final
1292
DOI
https://doi.org/10.1016/j.laa.2012.04.011 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/17364 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/journal/00243795/437/5 Obrir en finestra nova
Resum
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.
Citació
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.
Grup de recerca
EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
SCL-EG - Sistemes de Control Lineals: estudi Geomètric