Convergence acceleration algorithms related to a generalized E-transformation and its particular cases

In this paper, a generalized E-transformation arising from the study of a generalization of sequence transformations and triangular recursion schemes is proposed. Three new algorithms, namely, the generalized E-algorithm, the generalized FS-algorithm and the generalized hungry type E-algorithm, are...

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Bibliographic Details
Published in:Japan journal of industrial and applied mathematics Vol. 30; no. 2; pp. 263 - 285
Main Authors: He, Yi, Hu, Xing-Biao, Tam, Hon-Wah, Tsujimoto, Satoshi
Format: Journal Article
Language:English
Published: Japan Springer Japan 01.06.2013
Springer Nature B.V
Subjects:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
Original Paper
rs-algorithm
E-transformation
65B05
qd-algorithm
G-algorithm
37K10
algorithm
ISSN:0916-7005, 1868-937X
Online Access:Get full text
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Summary:In this paper, a generalized E-transformation arising from the study of a generalization of sequence transformations and triangular recursion schemes is proposed. Three new algorithms, namely, the generalized E-algorithm, the generalized FS-algorithm and the generalized hungry type E-algorithm, are constructed for implementing the generalization of the E-transformation. Some convergence results of the generalized E-algorithm are obtained. In addition, some particular cases of the generalized E-transformation and the recursive algorithms for their computation are also studied.
Bibliography:SourceType-Scholarly Journals-1
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ISSN:0916-7005
1868-937X
DOI:10.1007/s13160-013-0102-8