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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 lu h, and 4» approximation are supplied and discussed.doi:10.1090/s0025-5718-1970-0301894-x fatcat:yqzxzwhs5rai7dsp2ci3tuwv7y