Cross rules of some extrapolation algorithms
文献类型：期刊论文
| 作者 | Brezinski, Claude1; He, Yi2,3; Hu, Xing-Biao2 ; Sun, Jian-Qing2,3
|
| 刊名 | INVERSE PROBLEMS
 |
| 出版日期 | 2010-09-01 |
| 卷号 | 26期号:9页码:22 |
| ISSN号 | 0266-5611 |
| DOI | 10.1088/0266-5611/26/9/095013 |
| 英文摘要 | In this paper, we present the cross rules of some extrapolation algorithms. These new cross rules are similar in their spirit to the cross rule for the scalar epsilon-algorithm and the rho-algorithm. The first interest of such rules is that, in the algorithms for implementing sequence transformations for the acceleration of the convergence, they allow us to compute only the quantities which have a signification for extrapolation and to jump over the intermediate ones. The second interest comes out from the link between convergence acceleration methods, soliton theory and discrete integrable systems. In some cases, cross rules directly lead to physically significant integrable systems. For example, the cross rule of the confluent qd-algorithm leads to the celebrated Toda equation, which is known to have physical applications. |
| 资助项目 | National Natural Science Foundation of China[10771207] ; LSEC ; Institute of Computational Mathematics, AMSS, CAS |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000280962800013 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9648]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Brezinski, Claude |
| 作者单位 | 1.Univ Sci & Tech Lille Flandres Artois, UFR Math Pures & Appl, Lab Paul Painleve, CNRS,UMR 8524, F-59655 Villeneuve Dascq, France 2.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Grad Sch, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Brezinski, Claude,He, Yi,Hu, Xing-Biao,et al. Cross rules of some extrapolation algorithms[J]. INVERSE PROBLEMS,2010,26(9):22. |
| APA | Brezinski, Claude,He, Yi,Hu, Xing-Biao,&Sun, Jian-Qing.(2010).Cross rules of some extrapolation algorithms.INVERSE PROBLEMS,26(9),22. |
| MLA | Brezinski, Claude,et al."Cross rules of some extrapolation algorithms".INVERSE PROBLEMS 26.9(2010):22. |
入库方式： OAI收割
来源：数学与系统科学研究院
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