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Interpolation and Curve Fitting by Sectionally Linear Functions

Published online by Cambridge University Press:  20 November 2018

Hans Schwerdtfeger
Hans Schwerdtfeger*
Affiliation:
McGill University
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Functions employed for interpolation and curve fitting are for the most part polynomials with numerical coefficients. Indeed these are functions whose values for numerically given arguments can be computed directly without resorting to non-algebraic designs. It is known, however, that there are cases where polynomial interpolation does not yield an adequate approximation to a given function (cf. [4], p. 34).

Type
Notes on Numerical Analysis II
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 1 , 01 January 1960 , pp. 41 - 57
Copyright
Copyright © Canadian Mathematical Society 1960

References

1. Forsythe, G. E., Generation and use of orthogonal polynomials for data-fitting with a digital computer, J. Soc. Indust. Appl. Math. 5 (1957) 74-88.Google Scholar
2. Herzberger, M., The normal equations of the method of least squares and their solution, Quarterly Appl. Math. 7 (1949) 217-223.Google Scholar
3. Nielsen, K. L., Methods in Numerical Analysis, (New York, 1956).Google Scholar
4. Steffensen, J. F., Interpolation, (Baltimore, 1927).Google Scholar
5. de la Vallée Poussin, C., Leçons sur l'approximation des fonctions d'une variable réelle, (Paris, 1919).Google Scholar