New bounds and an efficient algorithm for sparse difference resultants

doi:10.1016/j.jsc.2021.04.002

CSpace

	New bounds and an efficient algorithm for sparse difference resultants
	Yuan, Chun-Ming 1,2; Zhang, Zhi-Yong 3
	2021-11-01
发表期刊	JOURNAL OF SYMBOLIC COMPUTATION
ISSN	0747-7171
卷号	107 页码:279-298
摘要	The sparse difference resultant introduced in Li et al. (2015b) is a basic concept in difference elimination theory. In this paper, we show that the sparse difference resultant of a generic Laurent transformally essential system can be computed via the sparse resultant of a simple algebraic system arising from the difference system. Moreover, new order bounds of sparse difference resultant are found. Then we propose an efficient algorithm to compute sparse difference resultant which is the quotient of two determinants whose elements are the coefficients of the polynomials in the algebraic system. The complexity of the algorithm is analyzed and experimental results show the efficiency of the algorithm. (C) 2021 Elsevier Ltd. All rights reserved.
关键词	Sparse difference resultant Laurent transformally essential system Sparse resultant Complexity
DOI	10.1016/j.jsc.2021.04.002
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11671014] ; Beijing Natural Science Foundation[Z190004]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000653658500013
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/58696
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Zhi-Yong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Chun-Ming,Zhang, Zhi-Yong. New bounds and an efficient algorithm for sparse difference resultants[J]. JOURNAL OF SYMBOLIC COMPUTATION,2021,107:279-298.
APA	Yuan, Chun-Ming,&Zhang, Zhi-Yong.(2021).New bounds and an efficient algorithm for sparse difference resultants.JOURNAL OF SYMBOLIC COMPUTATION,107,279-298.
MLA	Yuan, Chun-Ming,et al."New bounds and an efficient algorithm for sparse difference resultants".JOURNAL OF SYMBOLIC COMPUTATION 107(2021):279-298.