KMS Of Academy of mathematics and systems sciences, CAS
| A Survey on Algorithms for Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases | |
Lu Dong1,2; Sun Yao3; Wang Dingkang1,2
| |
| 2019-02-01 | |
| Source Publication | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| ISSN | 1009-6124 |
| Volume | 32Issue:1Pages:234-255 |
| Abstract | 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. |
| Keyword | Comprehensive Grobner basis comprehensive Grobner system discovering geometric theorems mechanically parametric polynomial system quantifier elimination |
| DOI | 10.1007/s11424-019-8357-z |
| Language | 英语 |
| Funding Project | CAS Project[QYZDJ-SSW-SYS022] ; National Natural Science Foundation of China[61877058] ; Strategy Cooperation Project[AQ-1701] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000458795500013 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/32585 |
| Collection | 系统科学研究所 |
| Corresponding Author | Lu Dong |
| Affiliation | 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 |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment