On the mixed Cayley-Sylvester resultant matrix

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	On the mixed Cayley-Sylvester resultant matrix
	Sun, Weikun ; Li, Hongbo
	2006
发表期刊	ARTIFICIAL INTELLIGENCE AND SYMBOLIC COMPUTATION, PROCEEDINGS
ISSN	0302-9743
卷号	4120 页码:146-159
摘要	For a generic n-degree polynomial system which contains n + 1 polynomials in n variables, there are two classical resultant matrices, Sylvester resultant matrix and Cayley resultant matrix, lie at the two ends of a gamut of n + I resultant matrices. This paper gives the construction of the n - 1 resultant matrices which lie between the two pure resultant matrices by the combined method of Sylvester dialytic and Cayley quotient. Since the construction involves two steps, Cayley quotient and Sylvester dialytic, the block structure of these mixed resultant matrices are similar to that of Sylvester resultant matrix in large scale, and the detailed submatrices are similar to Dixon resultant matrix.
关键词	mixed Cayley-Sylvester resultant matrix Cayley quotient Sylvester dialytic block structure
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Artificial Intelligence ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000242127700012
出版者	SPRINGER-VERLAG BERLIN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2968
专题	系统科学研究所
通讯作者	Sun, Weikun
作者单位	1.Tianjin Univ Technol & Educ, Dept Math & Phys, Tianjin 300222, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sun, Weikun,Li, Hongbo. On the mixed Cayley-Sylvester resultant matrix[J]. ARTIFICIAL INTELLIGENCE AND SYMBOLIC COMPUTATION, PROCEEDINGS,2006,4120:146-159.
APA	Sun, Weikun,&Li, Hongbo.(2006).On the mixed Cayley-Sylvester resultant matrix.ARTIFICIAL INTELLIGENCE AND SYMBOLIC COMPUTATION, PROCEEDINGS,4120,146-159.
MLA	Sun, Weikun,et al."On the mixed Cayley-Sylvester resultant matrix".ARTIFICIAL INTELLIGENCE AND SYMBOLIC COMPUTATION, PROCEEDINGS 4120(2006):146-159.