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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He, Y., Hu, XB., Tam, HW. et al. Convergence acceleration algorithms related to a generalized E-transformation and its particular cases. Japan J. Indust. Appl. Math. 30, 263–285 (2013). https://doi.org/10.1007/s13160-013-0102-8
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DOI: https://doi.org/10.1007/s13160-013-0102-8