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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**[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]**William Edmund Milne,*Numerical Calculus. Approximations, Interpolation, Finite Differences, Numerical Integration, and Curve Fitting*, Princeton University Press, Princeton, New Jersey, 1949. MR**0028671****[4]**J. R. Womersley,*Scientific computing in Great Britain*, Math. Tables and Other Aids to Computation**2**(1946), 110–117. MR**0016683**, https://doi.org/10.1090/S0025-5718-1946-0016683-X**[5]**W. M. Kincaid,*Solution of equations by interpolation*, Ann. Math. Statistics**19**(1948), 207–219. MR**0025256****[6]***Tables of Lagrangian Interpolation Coefficients*, Columbia University Press, New York, 1944. Technical Director: Arnold N. Lowan. MR**0010053****[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