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

Yi He; Xing Biao Hu; Hon Wah Tam; Satoshi Tsujimoto

doi:10.1007/s13160-013-0102-8

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

Yi He, Xing Biao Hu, Hon Wah Tam^*, Satoshi Tsujimoto

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	263-285
Number of pages	23
Journal	Japan Journal of Industrial and Applied Mathematics
Volume	30
Issue number	2
DOIs	https://doi.org/10.1007/s13160-013-0102-8
Publication status	Published - Jun 2013

User-Defined Keywords

ε-algorithm
E-transformation
G-algorithm
qd-algorithm
rs-algorithm

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10.1007/s13160-013-0102-8

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title = "Convergence acceleration algorithms related to a generalized E-transformation and its particular cases",

abstract = "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.",

keywords = "ε-algorithm, E-transformation, G-algorithm, qd-algorithm, rs-algorithm",

author = "Yi He and Hu, {Xing Biao} and Tam, {Hon Wah} and Satoshi Tsujimoto",

note = "This work was supported by the National Natural Science Foundation of China (Grant no. 11071241, Grant no. 11201469), the knowledge innovation program of the Institute of Computational Math., AMSS, the China Postdoctoral Science Foundation funded project (Grant no. 2012M510186), and Hong Kong Research Grant Council (Grant no. HKBU202512).",

year = "2013",

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doi = "10.1007/s13160-013-0102-8",

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T1 - Convergence acceleration algorithms related to a generalized E-transformation and its particular cases

AU - He, Yi

AU - Hu, Xing Biao

AU - Tam, Hon Wah

AU - Tsujimoto, Satoshi

N1 - This work was supported by the National Natural Science Foundation of China (Grant no. 11071241, Grant no. 11201469), the knowledge innovation program of the Institute of Computational Math., AMSS, the China Postdoctoral Science Foundation funded project (Grant no. 2012M510186), and Hong Kong Research Grant Council (Grant no. HKBU202512).

PY - 2013/6

Y1 - 2013/6

N2 - 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.

AB - 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.

KW - ε-algorithm

KW - E-transformation

KW - G-algorithm

KW - qd-algorithm

KW - rs-algorithm

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DO - 10.1007/s13160-013-0102-8

M3 - Journal article

AN - SCOPUS:84879504216

SN - 0916-7005

VL - 30

SP - 263

EP - 285

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

IS - 2

ER -

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

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