On low rank perturbation of matrices
| dc.creator | Glebsky, Lev | |
| dc.creator | Rivera, Luis Manuel | |
| dc.date | 2008-02-26 | |
| dc.date | 2008-09-02 | |
| dc.date.accessioned | 2026-07-07T09:59:33Z | |
| dc.date.available | 2026-07-07T09:59:33Z | |
| dc.description | The article is devoted to different aspects of the question "What can be done with a matrix by low rank perturbation?" It is proved that one can change a geometrically simple spectrum drastically by a rank 1 permutation, but the situation is quite different if one restricts oneself to normal matrices. Also, the Jordan normal form of a perturbed matrix is considered. It is proved that with respect to rank as a distance all almost unitary matrices are near unitary. | |
| dc.description | This is essentially a new paper, has new results and cites. When we were writing the previous version we were not aware about some related works and results.. | |
| dc.identifier | https://arxiv.org/abs/0802.3874 | |
| dc.identifier | http://arxiv.org/abs/0802.3874 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168063 | |
| dc.subject | Functional Analysis | |
| dc.subject | 15A03; 15A18 | |
| dc.title | On low rank perturbation of matrices | |
| dc.type | text |