Abstract
We propose a new simple convergence acceleration method for a wide range class of convergent alternating series. It has some common features with Smith’s and Ford’s modification of Levin’s and Weniger’s sequence transformations, but its computational and memory cost is lower. We compare all three methods and give some common theoretical results. Numerical examples confirm a similar performance of all of them.
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Acknowledgements
I would like to express my sincere gratitude to Prof. S. Paszkowski, who initiated the proposed convergence acceleration method. The provided assistance and valuable comments were crucial for this research.
Finally, I would like to thank both of the reviewers. Their comments significantly improved the presentation of this paper.
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Nowak, R. Convergence acceleration of alternating series. Numer Algor 81, 591–608 (2019). https://doi.org/10.1007/s11075-018-0563-6
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DOI: https://doi.org/10.1007/s11075-018-0563-6