KMS Of Academy of mathematics and systems sciences, CAS
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. |
条目包含的文件 | 条目无相关文件。 |
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