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Adaptive Thiele interpolation

Published 20 Mar 2023 in math.NA and cs.NA | (2303.10957v1)

Abstract: The current implementation of Thiele rational interpolation in Maple (the ThieleInterpolation routine) breaks down when the points are not well-ordered. In this article, it is shown how this breakdown can be avoided by ordering the interpolation points in an adaptive way.

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