Barkatou, Moulay; Cluzeau, Thomas On the computation of rational solutions of linear integro-differential equations with polynomial coefficients. (English) Zbl 07740060 J. Symb. Comput. 121, Article ID 102252, 19 p. (2024). MSC: 16Sxx 34Axx 68Wxx PDFBibTeX XMLCite \textit{M. Barkatou} and \textit{T. Cluzeau}, J. Symb. Comput. 121, Article ID 102252, 19 p. (2024; Zbl 07740060) Full Text: DOI
Cluzeau, Thomas; Quadrat, Alban Equivalences of linear functional systems. (English) Zbl 1448.93053 Quadrat, Alban (ed.) et al., Algebraic and symbolic computation methods in dynamical systems. Based on articles written for the invited sessions of the 5th symposium on system structure and control, IFAC, Grenoble, France, February 4–6, 2013 and of the 21st international symposium on mathematical theory of networks and systems (MTNS 2014), Groningen, the Netherlands, July 7–11, 2014. Cham: Springer. Adv. Delays Dyn. 9, 53-86 (2020). Reviewer: Krzysztof Gałkowski (Zielona Gora) MSC: 93B25 93C05 PDFBibTeX XMLCite \textit{T. Cluzeau} and \textit{A. Quadrat}, Adv. Delays Dyn. 9, 53--86 (2020; Zbl 1448.93053) Full Text: DOI HAL
Cluzeau, Thomas; Koutschan, Christoph; Quadrat, Alban; Tõnso, Maris Effective algebraic analysis approach to linear systems over Ore algebras. (English) Zbl 1453.93042 Quadrat, Alban (ed.) et al., Algebraic and symbolic computation methods in dynamical systems. Based on articles written for the invited sessions of the 5th symposium on system structure and control, IFAC, Grenoble, France, February 4–6, 2013 and of the 21st international symposium on mathematical theory of networks and systems (MTNS 2014), Groningen, the Netherlands, July 7–11, 2014. Cham: Springer. Adv. Delays Dyn. 9, 3-52 (2020). Reviewer: Clementina Mladenova (Sofia) MSC: 93B25 93C05 PDFBibTeX XMLCite \textit{T. Cluzeau} et al., Adv. Delays Dyn. 9, 3--52 (2020; Zbl 1453.93042) Full Text: DOI HAL
Barkatou, Moulay; Cluzeau, Thomas; El Hajj, Ali Simple forms and rational solutions of pseudo-linear systems. (English) Zbl 1467.34012 Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 26-33 (2019). MSC: 34A30 39A10 68W30 PDFBibTeX XMLCite \textit{M. Barkatou} et al., in: Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC '19, Beijing, China, July 15--18, 2019. New York, NY: Association for Computing Machinery (ACM). 26--33 (2019; Zbl 1467.34012) Full Text: DOI
Barkatou, Moulay; Cluzeau, Thomas; Weil, Jacques-Arthur; Di Vizio, Lucia Computing the Lie algebra of the differential Galois group of a linear differential system. (English) Zbl 1364.12003 Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 63-70 (2016). MSC: 12H05 17B45 68W30 34M15 PDFBibTeX XMLCite \textit{M. Barkatou} et al., in: Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20--22, 2016. New York, NY: Association for Computing Machinery (ACM). 63--70 (2016; Zbl 1364.12003) Full Text: DOI
Barkatou, Moulay A.; Cluzeau, Thomas; Jalouli, Achref Formal solutions of linear differential systems with essential singularities in their coefficients. (English) Zbl 1345.68280 Proceedings of the 40th international symposium on symbolic and algebraic computation, ISSAC 2015, Bath, UK, July 6–9, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3435-8). 45-52 (2015). MSC: 68W30 34M03 34M25 34M35 PDFBibTeX XMLCite \textit{M. A. Barkatou} et al., in: Proceedings of the 40th international symposium on symbolic and algebraic computation, ISSAC 2015, Bath, UK, July 6--9, 2015. New York, NY: Association for Computing Machinery (ACM). 45--52 (2015; Zbl 1345.68280) Full Text: DOI
Barkatou, M. A.; Cluzeau, T.; El Bacha, C.; Weil, J.-A. Computing closed form solutions of integrable connections. (English) Zbl 1323.68580 van der Hoeven, Joris (ed.) et al., Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22–25, 2012. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-1269-1). 43-50 (2012). MSC: 68W30 35A24 35F35 68Q25 PDFBibTeX XMLCite \textit{M. A. Barkatou} et al., in: Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22--25, 2012. New York, NY: Association for Computing Machinery (ACM). 43--50 (2012; Zbl 1323.68580) Full Text: DOI
Barkatou, Moulay A.; Cluzeau, Thomas; El Bacha, Carole Simple forms of higher-order linear differential systems and their applications in computing regular solutions. (English) Zbl 1216.34096 J. Symb. Comput. 46, No. 6, 633-658 (2011). MSC: 34M25 34M03 68W30 PDFBibTeX XMLCite \textit{M. A. Barkatou} et al., J. Symb. Comput. 46, No. 6, 633--658 (2011; Zbl 1216.34096) Full Text: DOI
Cluzeau, Thomas; Hubert, Evelyne Probabilistic algorithms for computing resolvent representations of regular differential ideals. (English) Zbl 1192.12005 Appl. Algebra Eng. Commun. Comput. 19, No. 5, 365-392 (2008). MSC: 12H05 68W10 68W30 12-04 PDFBibTeX XMLCite \textit{T. Cluzeau} and \textit{E. Hubert}, Appl. Algebra Eng. Commun. Comput. 19, No. 5, 365--392 (2008; Zbl 1192.12005) Full Text: DOI
Bostan, A.; Chyzak, F.; Salvy, B.; Cluzeau, T. Low complexity algorithms for linear recurrences. (English) Zbl 1356.65246 Dumas, Jean-Guillaume (ed.), Proceedings of the 2006 international symposium on symbolic and algebraic computation, ISSAC 06, Genova, Italy, July 9–12, 2006. New York, NY: ACM Press (ISBN 1-59593-276-3). 31-38 (2006). MSC: 65Q30 68W30 68W40 PDFBibTeX XMLCite \textit{A. Bostan} et al., in: Proceedings of the 2006 international symposium on symbolic and algebraic computation, ISSAC 06, Genova, Italy, July 9--12, 2006. New York, NY: ACM Press. 31--38 (2006; Zbl 1356.65246) Full Text: DOI Link
Bostan, Alin; Cluzeau, Thomas; Salvy, Bruno Fast algorithms for polynomial solutions of linear differential equations. (English) Zbl 1360.68920 Kauers, Manuel (ed.), Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC’05, Beijing, China, July 24–27, 2005. New York, NY: ACM Press (ISBN 1-59593-095-7). 45-52 (2005). MSC: 68W30 34A30 68Q25 PDFBibTeX XMLCite \textit{A. Bostan} et al., in: Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC'05, Beijing, China, July 24--27, 2005. New York, NY: ACM Press. 45--52 (2005; Zbl 1360.68920) Full Text: DOI