A generalization of the G-transformation and the related algorithms

doi:10.1016/j.apnum.2010.03.008

	A generalization of the G-transformation and the related algorithms
	Brezinski, Claude 2; He, Yi 1,3; Hu, Xing-Biao1 ; Sun, Jian-Qing 1,3
	2010-12-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	60 期号:12 页码:1221-1230
摘要	In this paper, a generalization of the G-transformation is proposed together with the corresponding auxiliary rs-algorithm for implementation. We show that the related generalization of the rs-algorithm is equivalent to a generalized qd-algorithm. Applications of the generalization of the G-transformation to the computation of infinite integrals are also given. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	G-transformation G-algorithm rs-algorithm qd-algorithm
DOI	10.1016/j.apnum.2010.03.008
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000284082300005
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9457
专题	计算数学与科学工程计算研究所
通讯作者	Hu, Xing-Biao
作者单位	1.Chinese Acad Sci, AMSS, LSEC, Inst Computat Math & Sci, Beijing 100190, Peoples R China 2.Univ Sci & Technol Lille, CNRS, Lab Paul Painleve, UFR Math Pures & Appliquees,UMR 8524, F-59655 Villeneuve Dascq, France 3.Chinese Acad Sci, Grad Sch, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Brezinski, Claude,He, Yi,Hu, Xing-Biao,et al. A generalization of the G-transformation and the related algorithms[J]. APPLIED NUMERICAL MATHEMATICS,2010,60(12):1221-1230.
APA	Brezinski, Claude,He, Yi,Hu, Xing-Biao,&Sun, Jian-Qing.(2010).A generalization of the G-transformation and the related algorithms.APPLIED NUMERICAL MATHEMATICS,60(12),1221-1230.
MLA	Brezinski, Claude,et al."A generalization of the G-transformation and the related algorithms".APPLIED NUMERICAL MATHEMATICS 60.12(2010):1221-1230.