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Difficulties of convergence acceleration

  • I. M. Longman
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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    D. Levin, Development of non-linear transformations for improving convergence of sequences, Intern. J. Computer Math. B3 (1973) 371–388.MathSciNetzbMATHGoogle Scholar
  2. [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.CrossRefzbMATHGoogle Scholar
  3. [3]
    E. D. Rainville, Special Functions, Macmillan, New York, 1967, Ch. 14.zbMATHGoogle Scholar
  4. [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.Google Scholar

Copyright information

© Srpinger-Verlag 1981

Authors and Affiliations

  • I. M. Longman
    • 1
  1. 1.Department of Geophysics and Planetary SciencesTel-Aviv UniversityRamat-AvivIsrael

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