CSpace
 Computing polynomial univariate representations of zero-dimensional ideals by Grobner basis Alternative Title Computing polynomial univariate representations of zero-dimensional ideals by Grobner basis Ma XiaoDong; Sun Yao; Wang DingKang 2012-01-01 Source Publication SCIENCE CHINA-MATHEMATICS ISSN 1674-7283 Volume 55Issue:6Pages:1293-1302 Abstract 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. Other Abstract 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 Grbner basis.The new algorithm also provides a method for testing separating elements. Keyword BASES COMPUTATION ALGORITHMS RESULTANTS RUR PUR zero-dimensional ideals Grobner basis Indexed By CSCD Language 英语 Funding Project [National Key Basic Research Project of China] ; [National Natural Science Foundation of China] CSCD ID CSCD:4598161 Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/56159 Collection 中国科学院数学与系统科学研究院 Affiliation 中国科学院数学与系统科学研究院 Recommended CitationGB/T 7714 Ma XiaoDong,Sun Yao,Wang DingKang. Computing polynomial univariate representations of zero-dimensional ideals by Grobner basis[J]. SCIENCE CHINA-MATHEMATICS,2012,55(6):1293-1302. APA Ma XiaoDong,Sun Yao,&Wang DingKang.(2012).Computing polynomial univariate representations of zero-dimensional ideals by Grobner basis.SCIENCE CHINA-MATHEMATICS,55(6),1293-1302. MLA Ma XiaoDong,et al."Computing polynomial univariate representations of zero-dimensional ideals by Grobner basis".SCIENCE CHINA-MATHEMATICS 55.6(2012):1293-1302.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Ma XiaoDong]'s Articles [Sun Yao]'s Articles [Wang DingKang]'s Articles Baidu academic Similar articles in Baidu academic [Ma XiaoDong]'s Articles [Sun Yao]'s Articles [Wang DingKang]'s Articles Bing Scholar Similar articles in Bing Scholar [Ma XiaoDong]'s Articles [Sun Yao]'s Articles [Wang DingKang]'s Articles Terms of Use No data! Social Bookmark/Share