Canonical matrices for linear matrix problems
| dc.creator | Sergeichuk, Vladimir V. | |
| dc.date | 2007-09-16 | |
| dc.date.accessioned | 2026-07-07T08:29:55Z | |
| dc.date.available | 2026-07-07T08:29:55Z | |
| dc.description | We consider a large class of matrix problems, which includes the problem of classifying arbitrary systems of linear mappings. For every matrix problem from this class, we construct Belitskii's algorithm for reducing a matrix to a canonical form, which is the generalization of the Jordan normal form, and study the set C(m,n) of indecomposable canonical m-by-n matrices. Considering C(m,n) as a subset in the affine space of m-by-n matrices, we prove that either C(m,n) consists of a finite number of points and straight lines for every (m,n), or C(m,n) contains a 2-dimensional plane for a certain (m,n). | |
| dc.description | 59 pages | |
| dc.identifier | https://arxiv.org/abs/0709.2485 | |
| dc.identifier | http://arxiv.org/abs/0709.2485 | |
| dc.identifier | Linear Algebra Appl. 317 (2000) 53-102 | |
| dc.identifier | doi:10.1016/S0024-3795(00)00150-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138109 | |
| dc.subject | Representation Theory | |
| dc.subject | 15A21; 16G60 | |
| dc.title | Canonical matrices for linear matrix problems | |
| dc.type | text |