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Computation of differential Chow forms for ordinary prime differential ideals

文献类型：期刊论文

作者Li, Wei; Li, Ying-Hong
刊名ADVANCES IN APPLIED MATHEMATICS
出版日期2016
卷号72页码:77-112
关键词Differential Chow form Jacobi bound Characteristic set Single exponential algorithm
ISSN号0196-8858
DOI10.1016/j.aam.2015.09.004
英文摘要In this paper, we propose algorithms for computing differential Chow forms for ordinary prime differential ideals which are given by characteristic sets. The algorithms are based on an optimal bound for the order of a prime differential ideal in terms of a characteristic set under an arbitrary ranking, which shows the Jacobi bound conjecture holds in this case. Apart from the order bound, we also give a degree bound for the differential Chow form. In addition, for a prime differential ideal given by a characteristic set under an orderly ranking, a much simpler algorithm is given to compute its differential Chow form. The computational complexity of the algorithms is single exponential in terms of the Jacobi number, the maximal degree of the differential polynomials in a characteristic set, and the number of variables. (C) 2015 Elsevier Inc. All rights reserved.
资助项目National Key Basic Research Project of China[2011CB302400] ; NSFC[60821002] ; NSFC[11301519]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000366958300004
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21624]  
专题系统科学研究所
通讯作者Li, Wei
作者单位Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Li, Wei,Li, Ying-Hong. Computation of differential Chow forms for ordinary prime differential ideals[J]. ADVANCES IN APPLIED MATHEMATICS,2016,72:77-112.
APA Li, Wei,&Li, Ying-Hong.(2016).Computation of differential Chow forms for ordinary prime differential ideals.ADVANCES IN APPLIED MATHEMATICS,72,77-112.
MLA Li, Wei,et al."Computation of differential Chow forms for ordinary prime differential ideals".ADVANCES IN APPLIED MATHEMATICS 72(2016):77-112.

入库方式： OAI收割

来源：数学与系统科学研究院

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