The Neville-Aitken formula for rational interpolants with prescribed poles

DOI10.1007/BF02141923zbMath0787.41003OpenAlexW2108641250MaRDI QIDQ688108

Carsten Carstensen, Günter W. Mühlbach

Publication date: 15 May 1994

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02141923

zbMATH Keywords

Neville-Aitken algorithmCauchy-Vandermonde determinant

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (6)

On rational B-splines with prescribed poles ⋮ On Hermite interpolation by Cauchy-Vandermonde systems: The Lagrange formula, the adjoint and the inverse of a Cauchy-Vandermonde matrix ⋮ The barycentric weights of rational interpolation with prescribed poles ⋮ Fast algorithms of Björck-Pereyra type for solving Cauchy-Vandermonde linear systems ⋮ Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights. I ⋮ Interpolation by Cauchy-Vandermonde systems and applications

Cites Work

• Unnamed Item
• Linear extrapolation by rational functions, exponentials and logarithmic functions
• Computation of Cauchy-Vandermonde determinants
• Computation of rational interpolants with prescribed poles

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