globaloptimizationofpolynomialsoverrealalgebraicsets

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	globaloptimizationofpolynomialsoverrealalgebraicsets
	Wang Chu 1; Yang Zhihong 2; Zhi Lihong2
	2019
发表期刊	journalofsystemsscienceandcomplexity
ISSN	1009-6124
卷号	32 期号:1 页码:158
摘要	Let f, g_1, · · · , g_s be polynomials in RX_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}.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/40458
专题	系统科学研究所
作者单位	1.Beijing Jinghang Computation and Communication Research Institute 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Wang Chu,Yang Zhihong,Zhi Lihong. globaloptimizationofpolynomialsoverrealalgebraicsets[J]. journalofsystemsscienceandcomplexity,2019,32(1):158.
APA	Wang Chu,Yang Zhihong,&Zhi Lihong.(2019).globaloptimizationofpolynomialsoverrealalgebraicsets.journalofsystemsscienceandcomplexity,32(1),158.
MLA	Wang Chu,et al."globaloptimizationofpolynomialsoverrealalgebraicsets".journalofsystemsscienceandcomplexity 32.1(2019):158.