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Difficulties of convergence acceleration

Part II: Short Communications

Part of the Lecture Notes in Mathematics book series (LNM,volume 888)

Keywords

  • Recurrence Relation
  • Negative Term
  • Nating Series
  • Convergence Acceleration
  • Exponential Series

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References

  1. D. Levin, Development of non-linear transformations for improving convergence of sequences, Intern. J. Computer Math. B3 (1973) 371–388.

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  2. W. G. Bickley and J. C. P. Miller, The numerical summation of slowly convergent series of positive terms, Phil. Mag. (Series 7) 22 (1936), 754–767.

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  3. E. D. Rainville, Special Functions, Macmillan, New York, 1967, Ch. 14.

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  4. D. Levin and A. Sidi, Two new classes of non-linear transformations for accelerating the convergence of infinite integrals and series, J. Appl. Math. Comp., in press.

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© 1981 Srpinger-Verlag

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Longman, I.M. (1981). Difficulties of convergence acceleration. In: de Bruin, M.G., van Rossum, H. (eds) Padé Approximation and its Applications Amsterdam 1980. Lecture Notes in Mathematics, vol 888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095593

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  • DOI: https://doi.org/10.1007/BFb0095593

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11154-2

  • Online ISBN: 978-3-540-38606-3

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