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Two simple algorithms for discrete rational approximation


Authors: I. Barrodale and J. C. Mason
Journal: Math. Comp. 24 (1970), 877-891
MSC: Primary 65D15
DOI: https://doi.org/10.1090/S0025-5718-1970-0301894-X
MathSciNet review: 0301894
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Abstract: This paper reports on computational experience with algorithms due to Loeb and Appel for rational approximation on discrete point sets. Following a brief review of the linear discrete approximation problem, the two rational algorithms are stated in a general setting. Finally, several numerical examples of applications to $ {l_1}$, $ {l_2}$, and $ {l_\infty }$ approximation are supplied and discussed.


References [Enhancements On Off] (What's this?)

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  • [3] I. Barrodale & A. Young, "Algorithms for best $ {L_1}$ and $ {L_\infty }$ linear approximations on a discrete set," Numer. Math., v. 8, 1966, pp. 295-306. MR 33 #5096. MR 0196912 (33:5096)
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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1970-0301894-X
Keywords: Rational approximation, Loeb, Appel, weighted linear approximation, computational experience
Article copyright: © Copyright 1970 American Mathematical Society

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