Abstract
It is shown that Thiele fractions and Thiele-Werner fractions always provide representations for the solution of a given soluble, rational interpolation problem. A strategy which guarantees the accuracy of construction of Thiele-Werner interpolants is reviewed. Some difficulties in the selection of best library algorithms for rational interpolation are considered.
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Graves-Morris, P.R. (1981). Efficient reliable rational interpolation. In: de Bruin, M.G., van Rossum, H. (eds) Padé Approximation and its Applications Amsterdam 1980. Lecture Notes in Mathematics, vol 888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095575
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DOI: https://doi.org/10.1007/BFb0095575
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