Sufficient conditions for the convergence of the Magnus expansion
| dc.creator | Casas, Fernando | |
| dc.date | 2007-11-15 | |
| dc.date.accessioned | 2026-07-07T13:02:02Z | |
| dc.date.available | 2026-07-07T13:02:02Z | |
| dc.description | Two different sufficient conditions are given for the convergence of the Magnus expansion arising in the study of the linear differential equation $Y' = A(t) Y$. The first one provides a bound on the convergence domain based on the norm of the operator $A(t)$. The second condition links the convergence of the expansion with the structure of the spectrum of $Y(t)$, thus yielding a more precise characterization. Several examples are proposed to illustrate the main issues involved and the information on the convergence domain provided by both conditions. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0711.2381 | |
| dc.identifier | http://arxiv.org/abs/0711.2381 | |
| dc.identifier | J. Phys. A: Math. Theor. 40 (2007), 15001-15017 | |
| dc.identifier | doi:10.1088/1751-8113/40/50/006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226349 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 34A12; 34A30 | |
| dc.title | Sufficient conditions for the convergence of the Magnus expansion | |
| dc.type | text |