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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
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.

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  • [3] Ian Barrodale and Andrew Young, Algorithms for best 𝐿₁ and 𝐿_{∞} linear approximations on a discrete set, Numer. Math. 8 (1966), 295–306. MR 0196912
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Keywords: Rational approximation, Loeb, Appel, weighted linear approximation, computational experience
Article copyright: © Copyright 1970 American Mathematical Society