Computing the intersections of three conics according to their Jacobian curve

doi:10.1016/j.jsc.2015.06.004

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	Computing the intersections of three conics according to their Jacobian curve
	Feng, Ruyong1 ; Shen, Li-Yong 2,3
	2016-03-01
发表期刊	JOURNAL OF SYMBOLIC COMPUTATION
ISSN	0747-7171
卷号	73 页码:175-191
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.
关键词	Algebraic condition Conic Intersection Jacobian curve Singularity
DOI	10.1016/j.jsc.2015.06.004
语种	英语
资助项目	Beijing Nova Program[Z121104002512065]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000361856600010
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20856
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.