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Mathematics of Computation

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Comparison of algorithms for multivariate rational approximation


Author: Jackson N. Henry
Journal: Math. Comp. 31 (1977), 485-494
MSC: Primary 65D15
DOI: https://doi.org/10.1090/S0025-5718-1977-0445786-0
MathSciNet review: 0445786
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Abstract: Let F be a continuous real-valued function defined on the unit square $ [ - 1,1] \times [ - 1,1]$. When developing the rational product approximation to F, a certain type of discontinuity may arise. We develop a variation of a known technique to overcome this discontinuity so that the approximation can be programmed. Rational product approximations to F have been computed using both the second algorithm of Remez and the differential correction algorithm. A discussion of the differences in errors and computing time for each of these algorithms is presented and compared with the surface fit approximation also obtained using the differential correction algorithm.


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DOI: https://doi.org/10.1090/S0025-5718-1977-0445786-0
Article copyright: © Copyright 1977 American Mathematical Society