@inproceedings{4911f4dff0a6453d8fb233a7f325381a,
title = "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.",
keywords = "linear differential equations, monodromy, rigorous numerics",
author = "Fr{\'e}d{\'e}ric Chyzak and Alexandre Goyer and Marc Mezzarobba",
note = "Publisher Copyright: {\textcopyright} 2022 ACM.; 47th International Symposium on Symbolic and Algebraic Computation, ISSAC 2022 ; Conference date: 04-07-2022 Through 07-07-2022",
year = "2022",
month = jul,
day = "4",
doi = "10.1145/3476446.3535503",
language = "English",
series = "Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC",
publisher = "Association for Computing Machinery",
pages = "73--82",
editor = "Amir Hashemi",
booktitle = "ISSAC 2022 - Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation47th International Symposium on Symbolic and Algebraic Computation, ISSAC 2022",
}