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Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians

文献类型：期刊论文

作者Liu, Ya-Jie3,4; Chang, Xiang-Ke3,4; He, Yi1,2; Hu, Xing-Biao3,4
刊名NUMERICAL ALGORITHMS
出版日期2021-04-09
页码24
ISSN号1017-1398
关键词Shanks transformation Convergence acceleration algorithms Pfaffians
DOI10.1007/s11075-021-01092-y
英文摘要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.
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
语种英语
出版者SPRINGER
WOS记录号WOS:000638496800001
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58632]  
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, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
2.Chinese Acad Sci, Innovat Acad Precis Measurement Sci & Technol, Wuhan 430071, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, POB 2719, Beijing 100190, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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