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New bounds and an efficient algorithm for sparse difference resultants

文献类型：期刊论文

作者Yuan, Chun-Ming2,3; Zhang, Zhi-Yong1
刊名JOURNAL OF SYMBOLIC COMPUTATION
出版日期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
DOI10.1016/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
WOS记录号WOS:000653658500013
出版者ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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