Slices of matrices - a scenario for spectral theory
| dc.creator | Leite, Ricardo S. | |
| dc.creator | Tomei, Carlos | |
| dc.date | 2002-02-06 | |
| dc.date.accessioned | 2026-07-07T04:46:20Z | |
| dc.date.available | 2026-07-07T04:46:20Z | |
| dc.description | Given a real, symmetric matrix S, we define the slice through S as being the connected component containing S of two orbits under conjugation: the first by the orthogonal group, and the second by the upper triangular group. We describe some classical constructions in eigenvalue computations and integrable systems which keep slices invariant -- their properties are clarified by the concept. We also parametrize the closure of a slice in terms of a convex polytope. | |
| dc.description | 7 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0202054 | |
| dc.identifier | http://arxiv.org/abs/math/0202054 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63290 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 58F07; 15A18; 15A23 | |
| dc.title | Slices of matrices - a scenario for spectral theory | |
| dc.type | text |