computingpolynomialunivariaterepresentationsofzerodimensionalidealsbygrobnerbasis

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	computingpolynomialunivariaterepresentationsofzerodimensionalidealsbygrobnerbasis
	Ma Xiaodong; Sun Yao; Wang Dingkang
	2012
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	55 期号:6 页码:1293
摘要	Rational Univariate Representation (RUR) of zero-dimensional ideals is used to describe the zeros of zero-dimensional ideals and RUR has been studied extensively. In 1999, Roullier proposed an efficient algorithm to compute RUR of zero-dimensional ideals. In this paper, we will present a new algorithm to compute Polynomial Univariate Representation (PUR) of zero-dimensional ideals. The new algorithm is based on some interesting properties of Grobner basis. The new algorithm also provides a method for testing separating elements.
语种	英语
资助项目	[National Key Basic Research Project of China] ; [National Natural Science Foundation of China]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/37934
专题	系统科学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Ma Xiaodong,Sun Yao,Wang Dingkang. computingpolynomialunivariaterepresentationsofzerodimensionalidealsbygrobnerbasis[J]. sciencechinamathematics,2012,55(6):1293.
APA	Ma Xiaodong,Sun Yao,&Wang Dingkang.(2012).computingpolynomialunivariaterepresentationsofzerodimensionalidealsbygrobnerbasis.sciencechinamathematics,55(6),1293.
MLA	Ma Xiaodong,et al."computingpolynomialunivariaterepresentationsofzerodimensionalidealsbygrobnerbasis".sciencechinamathematics 55.6(2012):1293.