A q-difference version of the epsilon-algorithm

doi:10.1088/1751-8113/42/9/095202

	A q-difference version of the epsilon-algorithm
	He, Yi 1,2; Hu, Xing-Biao1 ; Tam, Hon-Wah 3
	2009-03-06
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	42 期号:9 页码:9
摘要	In this paper, a q-difference version of the epsilon-algorithm is proposed. By using determinant identities the solutions of an initial value problem thus arisen can be expressed as ratios of Hankel determinants. It is shown that in numerical analysis this algorithm can be used to compute the approximation lim(t ->infinity) f (t), and in the field of integrable systems it could be viewed as the q-difference version of the modified Toda molecule equation.
DOI	10.1088/1751-8113/42/9/095202
语种	英语
资助项目	National Natural Science Foundation of China[10771207] ; Institute of Computational Math. ; AMSS ; Hong Kong RGC[HKBU202007] ; Hong Kong Baptist University[FRG 07-08/I-54]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000263120100010
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/8115
专题	计算数学与科学工程计算研究所
通讯作者	He, Yi
作者单位	1.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing, Peoples R China 3.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	He, Yi,Hu, Xing-Biao,Tam, Hon-Wah. A q-difference version of the epsilon-algorithm[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2009,42(9):9.
APA	He, Yi,Hu, Xing-Biao,&Tam, Hon-Wah.(2009).A q-difference version of the epsilon-algorithm.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,42(9),9.
MLA	He, Yi,et al."A q-difference version of the epsilon-algorithm".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 42.9(2009):9.