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
UR  - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/1610
UR  - https://nbn-resolving.org/urn:nbn:de:0297-zib-16102
SN  - 1438-0064
ER  -