The Neville-Aitken formula for rational interpolants with prescribed poles
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Using a polynomial description of rational interpolation with prescribed poles a simple purely algebraic proof of a Neville-Aitken recurrence formula for rational interpolants with prescribed poles is presented. It is used to compute the general Cauchy-Vandermonde determinant explicitly in terms of the nodes and poles involved.
[1] G. Mühlbach. Computation of Cauchy-Vandermonde Determinants , 1993 .
[2] R. Langer. Interpolation and Approximation by Rational Functions in the Complex Domain , 1937 .
[3] M. Gasca,et al. Computation of rational interpolants with prescribed poles , 1989 .
[4] G. Mühlbach. Newton- und Hermite-Interpolation mit Čebyšev-Systemen , 1974 .