Difficulties of convergence acceleration

  • I. M. Longman
Part II: Short Communications
Part of the Lecture Notes in Mathematics book series (LNM, volume 888)


Recurrence Relation Negative Term Nating Series Convergence Acceleration Exponential Series 
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  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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