Cross rules of some extrapolation algorithms

doi:10.1088/0266-5611/26/9/095013

	Cross rules of some extrapolation algorithms
	Brezinski, Claude 1; He, Yi 2,3; Hu, Xing-Biao2 ; Sun, Jian-Qing 2,3
	2010-09-01
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	26 期号:9 页码:22
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.
DOI	10.1088/0266-5611/26/9/095013
语种	英语
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
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000280962800013
出版者	IOP PUBLISHING 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/9649
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.