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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Acceleration of convergence of a family of logarithmically convergent sequences
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by Andrew H. Van Tuyl PDF
Math. Comp. 63 (1994), 229-246 Request permission


The asymptotic behavior of several sequence transformations is investigated as $n \to \infty$ when applied to a certain family of logarithmically convergent sequences. The transformations considered are the iterations of the transformations $e_1^{(s)}({A_n})$ of Shanks and ${W_n}$ of Lubkin, the $\theta$-algorithm of Brezinski, the Levin u-and v-transforms, and generalizations of the $\rho$-algorithm and the Neville table. Computational results are given for both real and complex sequences.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Math. Comp. 63 (1994), 229-246
  • MSC: Primary 40A25; Secondary 65B05
  • DOI:
  • MathSciNet review: 1234428