CSpace  > 系统科学研究所
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 PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume32Issue:1Pages:234-255
AbstractWeispfenning 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.
KeywordComprehensive Grobner basis comprehensive Grobner system discovering geometric theorems mechanically parametric polynomial system quantifier elimination
DOI10.1007/s11424-019-8357-z
Language英语
Funding ProjectCAS Project[QYZDJ-SSW-SYS022] ; National Natural Science Foundation of China[61877058] ; Strategy Cooperation Project[AQ-1701]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000458795500013
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32585
Collection系统科学研究所
Affiliation1.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.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Lu Dong]'s Articles
[Sun Yao]'s Articles
[Wang Dingkang]'s Articles
Baidu academic
Similar articles in Baidu academic
[Lu Dong]'s Articles
[Sun Yao]'s Articles
[Wang Dingkang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Lu Dong]'s Articles
[Sun Yao]'s Articles
[Wang Dingkang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.