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Solving large linear algebraic systems in the context of integrable non-abelian Laurent ODEs (2012)

Wolf, Thomas ; Schrüfer, Eberhard ; Webster, Kenneth

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Publication Date: 2020-12-11

Description: 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.

Language: English

Type: reportzib , doc-type:preprint

Format: application/pdf

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