Decomposition of ordinary differential polynomials

doi:10.1007/s00200-008-0059-z

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	Decomposition of ordinary differential polynomials
	Gao, Xiao-Shan; Zhang, Mingbo
	2008-02-01
发表期刊	APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING
ISSN	0938-1279
卷号	19 期号:1 页码:1-25
摘要	In this paper, we present a complete algorithm to decompose nonlinear differential polynomials in one variable and with coefficients in a computable differential field kappa of characteristic zero. The algorithm provides an efficient reduction of the problem to the factorization of LODOs over the same coefficient field. Besides arithmetic operations, the algorithm needs decomposition of algebraic polynomials, factorization of multi-variable polynomials, and solution of algebraic linear equation systems. The algorithm is implemented in Maple for the constant field case. The program can be used to decompose differential polynomials with thousands of terms effectively.
关键词	decomposition differential polynomial pseudo linear differential polynomial differential degree
DOI	10.1007/s00200-008-0059-z
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000252973700001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5624
专题	系统科学研究所
通讯作者	Gao, Xiao-Shan
作者单位	Acad Sinica, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, Xiao-Shan,Zhang, Mingbo. Decomposition of ordinary differential polynomials[J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING,2008,19(1):1-25.
APA	Gao, Xiao-Shan,&Zhang, Mingbo.(2008).Decomposition of ordinary differential polynomials.APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING,19(1),1-25.
MLA	Gao, Xiao-Shan,et al."Decomposition of ordinary differential polynomials".APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 19.1(2008):1-25.