On the sensitivity to rounding errors of Chebyshev series approximations |
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| Authors: | J. Olvier |
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| Affiliation: | 1. Department of Computer Science, University of Essex, Colchester, Essex, England |
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| Abstract: | By analysing the effects of rounding errors from all sources, it is shown that the coefficients of the polynomial interpolating at the points cos jπ/n, (j=0,1,…, n), can be determined by a stable process, and an algorithm is derived which combines efficiency and stability. |
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