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 | Similar Articles | Additional Information
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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.
E. H. Neville, “Iterative interpolation.” Indian Math. Soc., Jn., v. 20, 1933, p. 87-120.
- William Edmund Milne, Numerical Calculus. Approximations, Interpolation, Finite Differences, Numerical Integration, and Curve Fitting, Princeton University Press, Princeton, New Jersey, 1949. MR 0028671
- J. R. Womersley, Scientific computing in Great Britain, Math. Tables Aids Comput. 2 (1946), 110–117. MR 16683, DOI https://doi.org/10.1090/S0025-5718-1946-0016683-X
- W. M. Kincaid, Solution of equations by interpolation, Ann. Math. Statistics 19 (1948), 207–219. MR 25256, DOI https://doi.org/10.1214/aoms/1177730245
- Tables of Lagrangian Interpolation Coefficients, Columbia University Press, New York, 1944. Technical Director: Arnold N. Lowan. MR 0010053 E. T. Whittaker & G. Robinson, The Calculus of Observations. Fourth ed., London, 1948, chap. IV.
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Article copyright:
© Copyright 1954
American Mathematical Society