Computing the intersections of three conics according to their Jacobian curve
文献类型：期刊论文
| 作者 | Feng, Ruyong1 ; Shen, Li-Yong2,3
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| 刊名 | JOURNAL OF SYMBOLIC COMPUTATION
 |
| 出版日期 | 2016-03-01 |
| 卷号 | 73页码:175-191 |
| 关键词 | Algebraic condition Conic Intersection Jacobian curve Singularity |
| ISSN号 | 0747-7171 |
| DOI | 10.1016/j.jsc.2015.06.004 |
| 英文摘要 | In this study, we describe the intersection of three conics based on the singularities of their corresponding Jacobian curve. In particular, we show that certain singular points and sub-lines of the Jacobian curve are the precise common points and common tangent lines of the conics, respectively. Based on our results, these points or the tangent line can be computed as the singularities of the Jacobian curve. These results facilitate investigations of the relationships between a net of conics and their Jacobian curve. (C) 2015 Elsevier Ltd. All rights reserved. |
| 资助项目 | Beijing Nova Program[Z121104002512065] |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000361856600010 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20855]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Shen, Li-Yong |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Key Lab Math Mech, Beijing 100864, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.Chinese Acad Sci, Key Lab Big Data Min & Knowledge Management, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Feng, Ruyong,Shen, Li-Yong. Computing the intersections of three conics according to their Jacobian curve[J]. JOURNAL OF SYMBOLIC COMPUTATION,2016,73:175-191. |
| APA | Feng, Ruyong,&Shen, Li-Yong.(2016).Computing the intersections of three conics according to their Jacobian curve.JOURNAL OF SYMBOLIC COMPUTATION,73,175-191. |
| MLA | Feng, Ruyong,et al."Computing the intersections of three conics according to their Jacobian curve".JOURNAL OF SYMBOLIC COMPUTATION 73(2016):175-191. |
入库方式： OAI收割
来源：数学与系统科学研究院
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