On the Complexity of Computing the Topology of Real Algebraic Space Curves
文献类型：期刊论文
| 作者 | Jin Kai1; Cheng Jinsan2 |
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2021-01-12 |
| 页码 | 18 |
| 关键词 | Algebraic space curve bit complexity topology |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-020-9164-2 |
| 英文摘要 | This paper presents an algorithm to compute the topology of an algebraic space curve. This is a modified version of the previous algorithm. Furthermore, the authors also analyse the bit complexity of the algorithm, which is O similar to(N-20), where N = max{d, tau}, d and tau are the degree bound and the bit size bound of the coefficients of the defining polynomials of the algebraic space curve. To our knowledge, this is the best bound among the existing work. It gains the existing results at least N-2. Meanwhile, the paper contains some contents of the conference papers (CASC 2014 and SNC 2014). |
| 资助项目 | Hubei Provincial Natural Science Foundation of China[2020CFB479] ; Research and Development Funds of Hubei University of Science and Technology[BK202024] ; National Natural Science Foundation of China[11471327] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000608140200007 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58012]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Jin Kai |
| 作者单位 | 1.Hubei Univ Sci & Technol, Sch Math & Stat, Xianning 437100, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Inst Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jin Kai,Cheng Jinsan. On the Complexity of Computing the Topology of Real Algebraic Space Curves[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2021:18. |
| APA | Jin Kai,&Cheng Jinsan.(2021).On the Complexity of Computing the Topology of Real Algebraic Space Curves.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,18. |
| MLA | Jin Kai,et al."On the Complexity of Computing the Topology of Real Algebraic Space Curves".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY (2021):18. |
入库方式： OAI收割
来源：数学与系统科学研究院
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