Apparent singularities of D-finite systems
文献类型：期刊论文
| 作者 | Chen, Shaoshi2,3 ; Kauers, Manuel4; Li, Ziming2,3; Zhang, Yi1,5
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| 刊名 | JOURNAL OF SYMBOLIC COMPUTATION
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| 出版日期 | 2019-11-01 |
| 卷号 | 95页码:217-237 |
| 关键词 | D-finite system Grobner basis Ordinary point Formal power series Apparent singularity Desingularization |
| ISSN号 | 0747-7171 |
| DOI | 10.1016/j.jsc.2019.02.009 |
| 英文摘要 | We generalize the notions of ordinary points and singularities from linear ordinary differential equations to D-finite systems. Ordinary points and apparent singularities of a D-finite system are characterized in terms of its formal power series solutions. We also show that apparent singularities can be removed like in the univariate case by adding suitable additional solutions to the system at hand. Several algorithms are presented for removing and detecting apparent singularities. In addition, an algorithm is given for computing formal power series solutions of a D-finite system at apparent singularities. (C) 2019 Elsevier Ltd. All rights reserved. |
| 资助项目 | NSFC[11771433] ; NSFC[11871067] ; NSFC[11501552] ; NSFC[11688101] ; Frontier Key Project[QYZDJ-SSW-SYS022] ; Fund of the Youth Innovation Promotion Association, CAS ; Austrian Science Fund (FWF)[F50-04] ; Austrian Science Fund (FWF)[Y464-N18] ; Austrian Science Fund (FWF)[P29467-N32] |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000470955400013 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34971]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Chen, Shaoshi |
| 作者单位 | 1.Austrian Acad Sci, RICAM, Linz, Austria 2.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Johannes Kepler Univ Linz, Inst Algebra, Linz, Austria 5.Univ Texas Dallas, Dept Math Sci, Richardson, TX 75083 USA |
| 推荐引用方式 GB/T 7714 | Chen, Shaoshi,Kauers, Manuel,Li, Ziming,et al. Apparent singularities of D-finite systems[J]. JOURNAL OF SYMBOLIC COMPUTATION,2019,95:217-237. |
| APA | Chen, Shaoshi,Kauers, Manuel,Li, Ziming,&Zhang, Yi.(2019).Apparent singularities of D-finite systems.JOURNAL OF SYMBOLIC COMPUTATION,95,217-237. |
| MLA | Chen, Shaoshi,et al."Apparent singularities of D-finite systems".JOURNAL OF SYMBOLIC COMPUTATION 95(2019):217-237. |
入库方式： OAI收割
来源：数学与系统科学研究院
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