The F5 algorithm in Buchberger's style
文献类型：期刊论文
| 作者 | Sun, Yao; Wang, Dingkang
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2011-12-01 |
| 卷号 | 24期号:6页码:1218-1231 |
| 关键词 | Buchberger's style F5 algorithm Grobner basis |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-011-0218-3 |
| 英文摘要 | The famous F5 algorithm for computing Grobner basis was presented by FaugSre in 2002. The original version of F5 is given in programming codes, so it is a bit difficult to understand. In this paper, the F5 algorithm is simplified as F5B in a Buchberger's style such that it is easy to understand and implement. In order to describe F5B, we introduce F5-reduction, which keeps the signature of labeled polynomials unchanged after reduction. The equivalence between F5 and F5B is also shown. At last, some versions of the F5 algorithm are illustrated. |
| 资助项目 | NKBRPC[2011CB302400] ; NSFC[10971217] ; NSFC[60821002/F02] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000297798800015 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11606]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Sun, Yao |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Yao,Wang, Dingkang. The F5 algorithm in Buchberger's style[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2011,24(6):1218-1231. |
| APA | Sun, Yao,&Wang, Dingkang.(2011).The F5 algorithm in Buchberger's style.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,24(6),1218-1231. |
| MLA | Sun, Yao,et al."The F5 algorithm in Buchberger's style".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 24.6(2011):1218-1231. |
入库方式： OAI收割
来源：数学与系统科学研究院
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