New bounds and an efficient algorithm for sparse difference resultants

doi:10.1016/j.jsc.2021.04.002

	New bounds and an efficient algorithm for sparse difference resultants
	Yuan, Chun-Ming 2,3; Zhang, Zhi-Yong 1
刊名	JOURNAL OF SYMBOLIC COMPUTATION
	2021-11-01
卷号	107 页码:279-298
关键词	Sparse difference resultant Laurent transformally essential system Sparse resultant Complexity
ISSN号	0747-7171
DOI	10.1016/j.jsc.2021.04.002
英文摘要	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.
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
语种	英语
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
WOS记录号	WOS:000653658500013
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58695]
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.Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, 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.