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arXiv · 2205.08991

Symbolic-Numeric Factorization of Differential Operators

Frédéric Chyzak·Alexandre Goyer·Marc Mezzarobba
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Abstract

We present a symbolic-numeric Las Vegas algorithm for factoring Fuchsian ordinary differential operators with rational function coefficients. The new algorithm combines ideas of van Hoeij's "local-to-global" method and of the ''analytic'' approach proposed by van der Hoeven. It essentially reduces to the former in ''easy'' cases where the local-to-global method succeeds, and to an optimized variant of the latter in the "hardest" cases, while handling intermediate cases more efficiently than both.

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Frédéric Chyzak, Alexandre Goyer, Marc Mezzarobba. 2022-05-18. Symbolic-Numeric Factorization of Differential Operators. https://arxiv.org/abs/2205.08991

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