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

doi:10.1007/s11075-019-00695-w

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	Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order
	Chang, Xiang-Ke 1,2; He, Yi 3; Hu, Xing-Biao 1,2; Sun, Jian-Qing 4; Weniger, Ernst Joachim 5
	2020-02-01
发表期刊	NUMERICAL ALGORITHMS
ISSN	1017-1398
卷号	83 期号:2 页码:593-627
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.
关键词	Convergence acceleration algorithm Sequence transformation Epsilon algorithm Rho algorithm
DOI	10.1007/s11075-019-00695-w
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000519981000008
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/50920
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.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, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 4.Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China 5.Univ Regensburg, Inst Phys & Theoret Chem, D-93040 Regensburg, Germany
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.