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A comparison of algorithms for rational $ l\sb{\infty }$ approximation


Authors: C. M. Lee and F. D. K. Roberts
Journal: Math. Comp. 27 (1973), 111-121
MSC: Primary 65D15
DOI: https://doi.org/10.1090/S0025-5718-1973-0331719-0
Corrigendum: Math. Comp. 33 (1979), 847-848.
Corrigendum: Math. Comp. 33 (1979), 847.
MathSciNet review: 0331719
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Abstract: Results are reported of a numerical study to compare eight algorithms for obtaining rational $ {l_\infty }$ approximations. The algorithms investigated are Loeb's algorithm, the linear inequality algorithm, the Osborne-Watson algorithm, the differential correction algorithms I, II and III, the Remes algorithm and Maehly's algorithm. The results of the study indicate that the Remes algorithm and the differential correction algorithm III are the most satisfactory methods to use in practice.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1973-0331719-0
Keywords: Rational approximation, linear programming
Article copyright: © Copyright 1973 American Mathematical Society

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