A Survey on Algorithms for Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases
文献类型：期刊论文
| 作者 | Lu Dong1,2; Sun Yao3; Wang Dingkang1,2
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2019-02-01 |
| 卷号 | 32期号:1页码:234-255 |
| 关键词 | Comprehensive Grobner basis comprehensive Grobner system discovering geometric theorems mechanically parametric polynomial system quantifier elimination |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-019-8357-z |
| 英文摘要 | Weispfenning in 1992 introduced the concepts of comprehensive Grobner system/basis of a parametric polynomial system, and he also presented an algorithm to compute them. Since then, this research field has attracted much attention over the past several decades, and many efficient algorithms have been proposed. Moreover, these algorithms have been applied to many different fields, such as parametric polynomial equations solving, geometric theorem proving and discovering, quantifier elimination, and so on. This survey brings together the works published between 1992 and 2018, and we hope that this survey is valuable for this research area. |
| 资助项目 | CAS Project[QYZDJ-SSW-SYS022] ; National Natural Science Foundation of China[61877058] ; Strategy Cooperation Project[AQ-1701] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000458795500013 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32584]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Lu Dong |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Informat Engn, SKLOIS, Beijing 100093, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu Dong,Sun Yao,Wang Dingkang. A Survey on Algorithms for Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2019,32(1):234-255. |
| APA | Lu Dong,Sun Yao,&Wang Dingkang.(2019).A Survey on Algorithms for Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,32(1),234-255. |
| MLA | Lu Dong,et al."A Survey on Algorithms for Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 32.1(2019):234-255. |
入库方式： OAI收割
来源：数学与系统科学研究院
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