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

Scopus Subject Areas

Engineering(all)
Applied Mathematics

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.",

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

year = "2013",

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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

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

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SN - 0916-7005

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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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