Constructing minimal telescopers for rational functions in three discrete variables
文献类型：期刊论文
| 作者 | Chen, Shaoshi1; Hou, Qing-Hu2; Huang, Hui3; Labahn, George4; Wang, Rong -Hua5 |
| 刊名 | ADVANCES IN APPLIED MATHEMATICS
 |
| 出版日期 | 2022-10-01 |
| 卷号 | 141页码:31 |
| ISSN号 | 0196-8858 |
| 关键词 | Creative telescoping Abramov reduction Symbolic summation |
| DOI | 10.1016/j.aam.2022.102389 |
| 英文摘要 | We present a new algorithm for constructing minimal tele-scop ers for rational functions in three discrete variables. This is the first discrete reduction-based algorithm that goes be-yond the bivariate case. The termination of the algorithm is guaranteed by a known existence criterion of telescopers. Our approach has the important feature that it avoids the potentially costly computation of certificates. Computational experiments are also provided so as to illustrate the efficiency of our approach. (c) 2022 Elsevier Inc. All rights reserved. |
| 资助项目 | NSFC[11871067] ; NSFC[12288201] ; NSFC[11921001] ; NSFC[12101449] ; NSFC[NSERC RGPIN-2020-04276] ; Fund of the Youth Innovation Promotion Association, CAS[2018001] ; Natural Sciences and Engineering Research Council (NSERC) Canada[12101105] ; Fundamental Research Funds for the Central Universities[DUT20RC (3) 073] ; Natural Science Foundation of Tianjin, China[19JCQNJC14500] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000841092100001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61105]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huang, Hui |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 3.Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China 4.Univ Waterloo, Cheriton Sch Comp Sci, Waterloo, ON N2L 3G1, Canada 5.Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Shaoshi,Hou, Qing-Hu,Huang, Hui,et al. Constructing minimal telescopers for rational functions in three discrete variables[J]. ADVANCES IN APPLIED MATHEMATICS,2022,141:31. |
| APA | Chen, Shaoshi,Hou, Qing-Hu,Huang, Hui,Labahn, George,&Wang, Rong -Hua.(2022).Constructing minimal telescopers for rational functions in three discrete variables.ADVANCES IN APPLIED MATHEMATICS,141,31. |
| MLA | Chen, Shaoshi,et al."Constructing minimal telescopers for rational functions in three discrete variables".ADVANCES IN APPLIED MATHEMATICS 141(2022):31. |
入库方式： OAI收割
来源：数学与系统科学研究院
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