Implicitization of differential rational parametric equations

doi:10.1016/S0747-7171(03)00068-3

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	Implicitization of differential rational parametric equations
	Gao, XS
	2003-11-01
发表期刊	JOURNAL OF SYMBOLIC COMPUTATION
ISSN	0747-7171
卷号	36 期号:5 页码:811-824
摘要	In this paper, we propose algorithms for the following problems in the implicitization of a set of differential rational parametric equations P. (1) To find a characteristic set for the implicit prime ideal of P. (2) To find a canonical representation for the image of P. (3) To decide whether the parameters of P are independent, and if not, to re-parameterize P so that the new parametric equations have independent parameters. (4) To compute the inversion maps of P, and as a consequence, to decide whether P is proper. If the implicit variety is of dimension one and P is not proper, to find a proper re-parameterization for P. (C) 2003 Elsevier Ltd. All rights reserved.
关键词	implicitization differential rational parametric equations unirational differential algebraic varieties Luroth theorem
DOI	10.1016/S0747-7171(03)00068-3
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000186484500005
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19128
专题	系统科学研究所
通讯作者	Gao, XS
作者单位	Acad Sinica, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, XS. Implicitization of differential rational parametric equations[J]. JOURNAL OF SYMBOLIC COMPUTATION,2003,36(5):811-824.
APA	Gao, XS.(2003).Implicitization of differential rational parametric equations.JOURNAL OF SYMBOLIC COMPUTATION,36(5),811-824.
MLA	Gao, XS."Implicitization of differential rational parametric equations".JOURNAL OF SYMBOLIC COMPUTATION 36.5(2003):811-824.