Computing polynomial univariate representations of zero-dimensional ideals by Grobner basis
文献类型：期刊论文
| 作者 | Ma XiaoDong; Sun Yao; Wang DingKang |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2012 |
| 卷号 | 55期号:6页码:1293-1302 |
| 关键词 | BASES COMPUTATION ALGORITHMS RESULTANTS RUR PUR zero-dimensional ideals Grobner basis |
| ISSN号 | 1674-7283 |
| 其他题名 | Computing polynomial univariate representations of zero-dimensional ideals by Grobner basis |
| 英文摘要 | 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. |
| 资助项目 | [National Key Basic Research Project of China] ; [National Natural Science Foundation of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4598161 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/56158]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 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. 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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