A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity
文献类型：期刊论文
| 作者 | Zhu Wei; Gao Xiao-Shan
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2017-04-01 |
| 卷号 | 30期号:2页码:464-483 |
| 关键词 | Differential polynomial system regular triangular set saturated triangular set triangular decomposition |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-016-5040-5 |
| 英文摘要 | In this paper, a new triangular decomposition algorithm is proposed for ordinary differential polynomial systems, which has triple exponential computational complexity. The key idea is to eliminate one algebraic variable from a set of polynomials in one step using the theory of multivariate resultant. This seems to be the first differential triangular decomposition algorithm with elementary computation complexity. |
| 资助项目 | National Natural Science Foundation of China[60821002] ; National Key Basic Research Project of China |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000397332200013 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25005]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zhu Wei |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu Wei,Gao Xiao-Shan. A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2017,30(2):464-483. |
| APA | Zhu Wei,&Gao Xiao-Shan.(2017).A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,30(2),464-483. |
| MLA | Zhu Wei,et al."A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 30.2(2017):464-483. |
入库方式： OAI收割
来源：数学与系统科学研究院
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