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Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order

文献类型：期刊论文

作者Chang, Xiang-Ke4,5; He, Yi2; Hu, Xing-Biao4,5; Sun, Jian-Qing3; Weniger, Ernst Joachim1
刊名NUMERICAL ALGORITHMS
出版日期2020-02-01
卷号83期号:2页码:593-627
关键词Convergence acceleration algorithm Sequence transformation Epsilon algorithm Rho algorithm
ISSN号1017-1398
DOI10.1007/s11075-019-00695-w
英文摘要We construct new sequence transformations based on Wynn's epsilon and rho algorithms. The recursions of the new algorithms include the recursions of Wynn's epsilon and rho algorithm and of Osada's generalized rho algorithm as special cases. We demonstrate the performance of our algorithms numerically by applying them to some linearly and logarithmically convergent sequences as well as some divergent series.
资助项目National Natural Science Foundation of China[11701550] ; National Natural Science Foundation of China[11731014] ; National Natural Science Foundation of China[11871336] ; National Natural Science Foundation of China[11571358] ; National Natural Science Foundation of China[11401546] ; National Natural Science Foundation of China[11871444] ; China Postdoctoral Science Foundation[2012M510186] ; China Postdoctoral Science Foundation[2013T60761] ; Youth Innovation Promotion Association CAS ; Fundamental Research Funds for the Central Universities[201964008]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000519981000008
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50919]  
专题中国科学院数学与系统科学研究院
通讯作者He, Yi
作者单位1.Univ Regensburg, Inst Phys & Theoret Chem, D-93040 Regensburg, Germany
2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
3.Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
5.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		 Chang, Xiang-Ke,He, Yi,Hu, Xing-Biao,et al. Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order[J]. NUMERICAL ALGORITHMS,2020,83(2):593-627.
APA Chang, Xiang-Ke,He, Yi,Hu, Xing-Biao,Sun, Jian-Qing,&Weniger, Ernst Joachim.(2020).Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order.NUMERICAL ALGORITHMS,83(2),593-627.
MLA Chang, Xiang-Ke,et al."Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order".NUMERICAL ALGORITHMS 83.2(2020):593-627.

入库方式： OAI收割

来源：数学与系统科学研究院

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