KMS Of Academy of mathematics and systems sciences, CAS
| Desingularization of Ore operators | |
Chen, Shaoshi1 ; Kauers, Manuel2; Singer, Michael F.3
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| 2016-05-01 | |
| 发表期刊 | JOURNAL OF SYMBOLIC COMPUTATION
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| ISSN | 0747-7171 |
| 卷号 | 74页码:617-626 |
| 摘要 | We show that Ore operators can be desingularized by calculating a least common left multiple with a random operator of appropriate order, thereby turning a heuristic used for many years in several computer algebra systems into an algorithm. Our result can be viewed as a generalization of a classical result about apparent singularities of linear differential equations. (C) 2015 Elsevier Ltd. All rights reserved. |
| 关键词 | D-finite functions Apparent singularities Computer algebra Ore operators |
| DOI | 10.1016/j.jsc.2015.11.001 |
| 语种 | 英语 |
| 资助项目 | NSFC[11501552] ; 973 project[2011CB302401] ; Academy of Mathematics and Systems Science, CAS[2014-cjrwlzx-chshsh] ; FWF[Y464-N18] ; FWF[F5004] ; National Science Foundation[CCF-1017217] |
| WOS研究方向 | Computer Science ; Mathematics |
| WOS类目 | Computer Science, Theory & Methods ; Mathematics, Applied |
| WOS记录号 | WOS:000366794100031 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/21621 |
| 专题 | 系统科学研究所 |
| 通讯作者 | Chen, Shaoshi |
| 作者单位 | 1.Chinese Acad Sci, KLMM, AMSS, Beijing 100190, Peoples R China 2.Johannes Kepler Univ Linz, Inst Algebra, A-4040 Linz, Austria 3.N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA |
| 推荐引用方式 GB/T 7714 | Chen, Shaoshi,Kauers, Manuel,Singer, Michael F.. Desingularization of Ore operators[J]. JOURNAL OF SYMBOLIC COMPUTATION,2016,74:617-626. |
| APA | Chen, Shaoshi,Kauers, Manuel,&Singer, Michael F..(2016).Desingularization of Ore operators.JOURNAL OF SYMBOLIC COMPUTATION,74,617-626. |
| MLA | Chen, Shaoshi,et al."Desingularization of Ore operators".JOURNAL OF SYMBOLIC COMPUTATION 74(2016):617-626. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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