Boulier, François; Lemaire, François Computing canonical representatives of regular differential ideals. (English) Zbl 1326.68344 Proceedings of the 2000 international symposium on symbolic and algebraic computation, ISSAC ’00, St. Andrews, Scotland, GB, 2000. New York, NY: ACM Press (ISBN 1-58113-218-2). 38-47 (2000). Cited in 11 Documents MSC: 68W30 Symbolic computation and algebraic computation 12H05 Differential algebra 12H20 Abstract differential equations 13P10 Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Keywords:Rosenfeld-Gröbner; canonical representatives; characteristic presentations; characteristic sets; differential algebra; lextriangular; regular differential ideal Software:Maple; DIFFALG PDFBibTeX XMLCite \textit{F. Boulier} and \textit{F. Lemaire}, in: Proceedings of the 2000 international symposium on symbolic and algebraic computation, ISSAC '00, St. Andrews, Scotland, GB, 2000. New York, NY: ACM Press. 38--47 (2000; Zbl 1326.68344) Full Text: DOI HAL References: [1] [1]L.Blum,F.Cuker,M.Shub,andS.Smale.Complexity andRealComputation.Springer­Verlag,1998. [2] [2]L.Blum,M.Shub,andS.Smale.Onatheoryof omputationandomplexityovertherealnumbers: NP­ompleteness,reursivefuntionsanduniversal mahines.BulletinoftheAmer.Math.So.,21:1.46, 1989. [3] [3]F.Cuker.Realomputationswithfakenumbers.In J.Wiedermann,P.vanEmdeBoas,andM.Nielsen, editors,ICALP’99,volume1644ofLet.Notesin Comp.Si.,pages55.73.Springer­Verlag,1999. [4] [4]S.Smale.Someremarksonthefoundationsof numerialanalysis.SIAMReview,32:211.220,1990. [5] [5]A.M.Turing.Rounding­oferrorsinmatrixproesses. Quart.1.Meh.Appl.Math.,1:287.308,1948. vii This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.