CSpace  > 系统科学研究所
Global Optimization of Polynomials over Real Algebraic Sets
Wang Chu1; Yang Zhi-Hong2,3; Zhi Lihong2,3
2019-02-01
Source PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume32Issue:1Pages:158-184
AbstractLet f, g(1),..., g(s) be polynomials in R[X-1,..., X-n]. Based on topological properties of generalized critical values, the authors propose a method to compute the global infimum f* of f over an arbitrary given real algebraic set V = {x R-n | g(1)(x) = 0,..., g(s)(x) = 0}, where V is not required to be compact or smooth. The authors also generalize this method to solve the problem of optimizing f over a basic closed semi-algebraic set S = {x R-n | g(1)(x) 0,..., g(s)(x) 0}.
KeywordPolynomial optimization real algebraic set generalized critical value
DOI10.1007/s11424-019-8351-5
Language英语
Funding ProjectNational Key Research Project of China[2018YFA0306702] ; National Natural Science Foundation of China[11571350]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000458795500010
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/32668
Collection系统科学研究所
Affiliation1.Beijing Jinghang Computat & Commun Res Inst, Beijing 100074, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Wang Chu,Yang Zhi-Hong,Zhi Lihong. Global Optimization of Polynomials over Real Algebraic Sets[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2019,32(1):158-184.
APA Wang Chu,Yang Zhi-Hong,&Zhi Lihong.(2019).Global Optimization of Polynomials over Real Algebraic Sets.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,32(1),158-184.
MLA Wang Chu,et al."Global Optimization of Polynomials over Real Algebraic Sets".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 32.1(2019):158-184.
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
[Wang Chu]'s Articles
[Yang Zhi-Hong]'s Articles
[Zhi Lihong]'s Articles
Baidu academic
Similar articles in Baidu academic
[Wang Chu]'s Articles
[Yang Zhi-Hong]'s Articles
[Zhi Lihong]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Wang Chu]'s Articles
[Yang Zhi-Hong]'s Articles
[Zhi Lihong]'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.