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Some new aspects of rational interpolation. (English) Zbl 0612.65005

A new algorithm for rational interpolation based on the barycentric formula is developed; the barycentric representation of the rational interpolation function possesses various advantages in comparison with other representations such as continued fractions: it provides, e.g., information concerning the existence and location of poles of the interpolant.

MSC:

65D05 Numerical interpolation
65D25 Numerical differentiation
41A20 Approximation by rational functions
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