Publication: Solving large linear algebraic systems in the context of integrable non-abelian Laurent ODEs
All || By Area || By Year| Title | Solving large linear algebraic systems in the context of integrable non-abelian Laurent ODEs | Authors/Editors* | Thomas Wolf, Eberhard Schruefer, Kenneth Webster |
|---|---|
| Where published* | Programming and Computer Software |
| How published* | Journal |
| Year* | 2012 |
| Volume | |
| Number | |
| Pages | 17 |
| Publisher | |
| Keywords | |
| Link | doi:10.1134/S0361768812020065, also ar{X}iv: 1109.2785 (nlin.SI) |
| Abstract |
The paper reports on a computer algebra program LSSS (Linear Selective Systems Solver) for solving linear algebraic systems with rational coefficients. The program is especially efficient for very large sparse systems that have a solution in which many variables take the value zero. The program is applied to the symmetry investigation of a non-abelian Laurent ODE introduced recently by M. Kontsevich. The computed symmetries confirmed that a Lax pair found for this system earlier generates all first integrals of degree at least up to 14. |
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