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A modification of the Aitken-Neville linear iterative procedures for polynomial interpolation


Author: M. C. K. Tweedie
Journal: Math. Comp. 8 (1954), 13-16
MSC: Primary 65.0X
DOI: https://doi.org/10.1090/S0025-5718-1954-0060304-1
MathSciNet review: 0060304
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References [Enhancements On Off] (What's this?)

  • [1] A. C. Aitken, ``On interpolation by iteration of proportional parts, without the use of differences.'' Edinburgh Math. Soc., Proc., ser. 2, v. 3, 1932, p. 56-76.
  • [2] E. H. Neville, ``Iterative interpolation.'' Indian Math. Soc., Jn., v. 20, 1933, p. 87-120.
  • [3] W. E. Milne, Numerical Calculus. Princeton University Press, 1949, chap. III. MR 0028671 (10:483g)
  • [4] J. R. Womersley, ``Scientific computing in Great Britain.'' MTAC, v. 2, 1946, p. 110-117. MR 0016683 (8:52e)
  • [5] W. M. Kincaid, ``Solution of equations by interpolation.'' Annals of Math. Statistics, v. 19, 1948, p. 207-219. MR 0025256 (9:621d)
  • [6] NBSMTP, Tables of Lagrangian Interpolation Coefficients. New York, Columbia University Press, 1944. MR 0010053 (5:244b)
  • [7] E. T. Whittaker & G. Robinson, The Calculus of Observations. Fourth ed., London, 1948, chap. IV.

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DOI: https://doi.org/10.1090/S0025-5718-1954-0060304-1
Article copyright: © Copyright 1954 American Mathematical Society

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