TY - GEN A1 - Wolf, Thomas A1 - Schrüfer, Eberhard A1 - Webster, Kenneth T1 - Solving large linear algebraic systems in the context of integrable non-abelian Laurent ODEs N2 - The paper reports on a computer algebra program {\sc 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. T3 - ZIB-Report - 12-32 KW - linear algebraic systems, integrability, Lax pairs, noncommutative ODE, Laurent ODE Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-16102 SN - 1438-0064 ER - TY - JOUR A1 - Wolf, Thomas A1 - Schrüfer, Eberhard A1 - Webster, Kenneth T1 - Solving large linear algebraic systems in the context of integrable non-abelian Laurent ODEs JF - Programming and Computer Software Y1 - 2012 U6 - https://doi.org/10.1134/S0361768812020065 SN - 0361-7688 VL - 38 IS - 2 SP - 73 EP - 83 ER -