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Publication: Solving large linear algebraic systems in the context of integrable non-abelian Laurent ODEs

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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.
Go to Computer Algebra, Computer Go, Knot Theory
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