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Symbolic-Numeric Factorization of Differential Operators

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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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03580658
Contributor : Alexandre Goyer Connect in order to contact the contributor
Submitted on : Wednesday, May 18, 2022 - 4:38:13 PM
Last modification on : Thursday, June 2, 2022 - 3:42:59 AM

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  • HAL Id : hal-03580658, version 2
  • ARXIV : 2205.08991

Citation

Frédéric Chyzak, Alexandre Goyer, Marc Mezzarobba. Symbolic-Numeric Factorization of Differential Operators. 2022. ⟨hal-03580658v2⟩

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