KMS Of Academy of mathematics and systems sciences, CAS
| New bounds and an efficient algorithm for sparse difference resultants | |
| Yuan, Chun-Ming1,2; Zhang, Zhi-Yong3 | |
| 2021-11-01 | |
| Source Publication | JOURNAL OF SYMBOLIC COMPUTATION
 |
| ISSN | 0747-7171 |
| Volume | 107Pages:279-298 |
| Abstract | 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. |
| Keyword | Sparse difference resultant Laurent transformally essential system Sparse resultant Complexity |
| DOI | 10.1016/j.jsc.2021.04.002 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11671014] ; Beijing Natural Science Foundation[Z190004] |
| WOS Research Area | Computer Science ; Mathematics |
| WOS Subject | Computer Science, Theory & Methods ; Mathematics, Applied |
| WOS ID | WOS:000653658500013 |
| Publisher | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58696 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhang, Zhi-Yong |
| Affiliation | 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 |
| Recommended Citation 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. |
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