Abstract
The barycentric formulas for polynomial and rational Hermite interpolation are derived; an efficient algorithm for the computation of these interpolants is developed. Some new interpolation principles based on rational interpolation are discussed.
Zusammenfassung
Es werden baryzentrische Formeln für die Hermitesche polynomiale und rationale Interpolationsaufgabe hergeleitet; darüberhinaus wird ein effizienter Algorithmus zur Berechnung dieser Interpolierenden hergeleitet. Einige neue Interpolationsprinzipien, die auf rationaler Interpolation beruhen, werden diskutiert.
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Schneider, C., Werner, W. Hermite interpolation: The barycentric approach. Computing 46, 35–51 (1991). https://doi.org/10.1007/BF02239010
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DOI: https://doi.org/10.1007/BF02239010