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XI.—Studies in Practical Mathematics. III. The Application of Quadratic Extrapolation to the Evaluation of Derivatives, and to Inverse Interpolation

Published online by Cambridge University Press:  15 September 2014

A. C. Aitken
A. C. Aitken
Affiliation:
Mathematical Institute, University of Edinburgh
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Extract

In an earlier paper (Aitken, 1932) the author put forward a method of polynomial interpolation which was designed to make full use of the speed and power of modern calculating machines in forming and summing products of two factors. The present paper is devoted to two further applications of the method. It is necessary to give a brief review and explanation of the process used, in order that these applications may be properly understood.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 58 , 1939 , pp. 161 - 175
Copyright
Copyright © Royal Society of Edinburgh 1939

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References

References to Literature

Aitken, A. C., 1932. Proc. Edin. Math. Soc., ser. 2, vol. iii, pp. 56–76.CrossRefGoogle Scholar
Comrie, L. J., 1937. Interpolation and Allied Tables (reprinted from Nautical Almanac, 1937), pp. 934–938.Google Scholar
Lidstone, G. J., 1937. Journ. Inst. Act., vol. lxviii, pp. 262–286.Google Scholar
Sheppard, W. F., 1906. Proc. London Math. Soc., ser. 2, vol. iv, pp. 328–331.Google Scholar
Whittaker, E. T., and Robinson, G., 1926. The Calculus of Observations, 2nd ed., London and Glasgow, p. 93.Google Scholar