
doi: 10.1137/0909072
It is well known that the Remes algorithm is an efficient method used in computation. However, the Remes algorithm does not always converge unless certain conditions are satisfied. The author presents a certain property and a modified Remes algorithm. If the initial approximation has the property, the modified Remes algorithm converges. At last, some numerical examples are given to show the efficiency of the modified Remes algorithm.
Best approximation, Chebyshev systems, Approximation by rational functions, numerical examples, convergence, Algorithms for approximation of functions, rational approximation, best approximation, Chebyshev polynomial, Remes algorithm
Best approximation, Chebyshev systems, Approximation by rational functions, numerical examples, convergence, Algorithms for approximation of functions, rational approximation, best approximation, Chebyshev polynomial, Remes algorithm
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