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Aitken acceleration of some alternating series

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Publication:760145
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DOI10.1007/BF01934516zbMath0554.65002MaRDI QIDQ760145

D. Kharzeev

Publication date: 1984

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

rate of convergencenumerical examplesnumerical stabilitysequence transformationAitken's delta square processwell-conditioned


Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Extrapolation to the limit, deferred corrections (65B05)


Related Items (4)

On condition numbers of the Shanks transformation ⋮ On condition numbers of some quasi-linear transformations ⋮ Computation of irregularly oscillating integrals ⋮ Prediction proberties of Aitken's iterated \(\Delta^2\) process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm



Cites Work

  • Acceleration Techniques for Iterated Vector and Matrix Problems
  • On the Convergence and Stability of the Epsilon Algorithm
  • XX.—Studies in Practical Mathematics. II. The Evaluation of the Latent Roots and Latent Vectors of a Matrix
  • On a Device for Computing the e m (S n ) Transformation
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