Solving large linear algebraic systems in the context of integrable non-abelian Laurent ODEs
Symbolic Computation
2011-09-14 v1 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1109.2785,
title = {Solving large linear algebraic systems in the context of integrable non-abelian Laurent ODEs},
author = {Thomas Wolf and Eberhard Schruefer and Kenneth Webster},
journal= {arXiv preprint arXiv:1109.2785},
year = {2011}
}
Comments
15 pages, talk given at AMMCS 2011, submitted for publication in Programming and Computer Software