Symbolic-Numeric Factorization of Differential Operators
Symbolic Computation
2022-06-06 v3
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.
Cite
@article{arxiv.2205.08991,
title = {Symbolic-Numeric Factorization of Differential Operators},
author = {Frédéric Chyzak and Alexandre Goyer and Marc Mezzarobba},
journal= {arXiv preprint arXiv:2205.08991},
year = {2022}
}