Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians

doi:10.1007/s11075-021-01092-y

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	Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians
	Liu, Ya-Jie 1,2; Chang, Xiang-Ke 1,2; He, Yi 3,4; Hu, Xing-Biao 1,2
	2021-04-09
发表期刊	NUMERICAL ALGORITHMS
ISSN	1017-1398
页码	24
摘要	Firstly, a new sequence transformation that can be expressed in terms of a ratio of two pfaffians is derived based on a special kernel. It can be regarded as a direct generalization of Aitken's Delta(2) process from the point of view of pfaffians and then the corresponding convergence acceleration algorithm is constructed. Numerical examples with applications of this algorithm are also presented. Secondly, we find a way to generalize the Shanks transformation via pfaffians so that a larger class of new sequence transformations are derived. The corresponding recursive algorithms are also proposed.
关键词	Shanks transformation Convergence acceleration algorithms Pfaffians
DOI	10.1007/s11075-021-01092-y
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11931017] ; National Natural Science Foundation of China[11871336] ; National Natural Science Foundation of China[12071447] ; Youth Innovation Promotion Association CAS ; National Key Research and Development Program of China[2020YFA0714200]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000638496800001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58633
专题	中国科学院数学与系统科学研究院
通讯作者	Chang, Xiang-Ke
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Innovat Acad Precis Measurement Sci & Technol, Wuhan 430071, Peoples R China 4.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Liu, Ya-Jie,Chang, Xiang-Ke,He, Yi,et al. Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians[J]. NUMERICAL ALGORITHMS,2021:24.
APA	Liu, Ya-Jie,Chang, Xiang-Ke,He, Yi,&Hu, Xing-Biao.(2021).Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians.NUMERICAL ALGORITHMS,24.
MLA	Liu, Ya-Jie,et al."Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians".NUMERICAL ALGORITHMS (2021):24.