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The use of economized polynomials in mathematical tables

Published online by Cambridge University Press:  24 October 2008

C. W. Clenshaw  and
F. W. J. Olver
C. W. Clenshaw
Affiliation:
National Physical Laboratory Teddington, Middlesex
F. W. J. Olver
Affiliation:
National Physical Laboratory Teddington, Middlesex
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The advantages of using polynomial approximations for the purpose of constructing interpolable numerical tables on punched cards have been pointed out by Sadler (7). The object of this paper is to demonstrate the value of this method for ordinary published tables.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 4 , October 1955 , pp. 614 - 628
Copyright
Copyright © Cambridge Philosophical Society 1955

References

REFERENCES

(1)British Association mathematical tables, part-vol. B, The Airy integral (Cambridge, 1946).Google Scholar
(2)Herget, P. and Clemence, G. M.Optimum-interval punched-card tables. Math. Tab., Wash., 1 (1943–1945), 173–6.Google Scholar
(3)Interpolation and allied tables (H.M. Stationery Office, 1936).Google Scholar
(4)Miller, J. C. P.Two numerical applications of Chebyshev polynomials. Proc. roy. Soc. Edinb. 62 (1943–1949), 204–10.Google Scholar
(5)National Bureau of Standards, Applied Mathematics Series, 9. Tables of Chebyshev polynomials Sn(x) and Cn(x) (Washington, 1952).Google Scholar
(6)National Bureau of Standards, Mathematical Tables Project. Tables of Lagrangian interpolation coefficients (New York, 1944).Google Scholar
(7)Sadler, D. H.Maximum-interval tables. Math. Tab., Wash., 4 (1950), 129–32.Google Scholar