A useful identity for the rational Hermite interpolation table

DOI10.1007/BF01390340zbMath0375.65004MaRDI QIDQ1245667

Guido Claessens

Publication date: 1978

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132516

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Algorithms for approximation of functions (65D15)

Related Items

Vector valued rational interpolants. I ⋮ Division algorithms for continued fractions and the Padé table ⋮ A Fitzpatrick algorithm for multivariate rational interpolation ⋮ A reliable modification of the cross rule for rational Hermite interpolation ⋮ On a general \(\rho\)-algorithm ⋮ Vector-valued, rational interpolants. III ⋮ Non-autonomous multidimensional Toda system and multiple interpolation problem

Cites Work

• The rational Hermite interpolation problem and some related recurrence formulas
• On the Newton-Padé approximation problem
• Upon systems of recursions which obtain among the quotients of the Padé table
• On the Osculatory Rational Interpolation Problem
• Singular rules for certain non-linear algorithms
• Unnamed Item