globaloptimizationofpolynomialsoverrealalgebraicsets
文献类型：期刊论文
| 作者 | Wang Chu1; Yang Zhihong2; Zhi Lihong2
|
| 刊名 | journalofsystemsscienceandcomplexity
 |
| 出版日期 | 2019 |
| 卷号 | 32期号:1页码:158 |
| ISSN号 | 1009-6124 |
| 英文摘要 | 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 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/40457]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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