Convergence acceleration algorithms related to a generalized E-transformation and its particular cases

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	Convergence acceleration algorithms related to a generalized E-transformation and its particular cases
	He, Yi 1; Hu, Xing-Biao 2; Tam, Hon-Wah 3; Tsujimoto, Satoshi 4
刊名	JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
	2013
卷号	30 期号:2 页码:263-285
关键词	E-transformation epsilon-algorithm G-algorithm rs-algorithm qd-algorithm
英文摘要	In this paper, a generalized E-transformation arising from the study of a generalization of sequence transformations and triangular recursion schemes is proposed. Three new algorithms, namely, the generalized E-algorithm, the generalized FS-algorithm and the generalized hungry type E-algorithm, are constructed for implementing the generalization of the E-transformation. Some convergence results of the generalized E-algorithm are obtained. In addition, some particular cases of the generalized E-transformation and the recursive algorithms for their computation are also studied.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied
研究领域[WOS]	Mathematics
关键词[WOS]	RICHARDSON EXTRAPOLATION
收录类别	SCI
语种	英语
WOS记录号	WOS:000321593000001
公开日期	2015-07-14
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/854]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 3.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China 4.Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Kyoto 6068501, Japan
推荐引用方式 GB/T 7714	He, Yi,Hu, Xing-Biao,Tam, Hon-Wah,et al. Convergence acceleration algorithms related to a generalized E-transformation and its particular cases[J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,2013,30(2):263-285.
APA	He, Yi,Hu, Xing-Biao,Tam, Hon-Wah,&Tsujimoto, Satoshi.(2013).Convergence acceleration algorithms related to a generalized E-transformation and its particular cases.JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,30(2),263-285.
MLA	He, Yi,et al."Convergence acceleration algorithms related to a generalized E-transformation and its particular cases".JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 30.2(2013):263-285.