The rational Hermite interpolation problem and some related recurrence formulas

DOI10.1016/0898-1221(76)90023-7zbMath0376.65003OpenAlexW2022330362MaRDI QIDQ1245552

Guido Claessens

Publication date: 1976

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(76)90023-7

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

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Toeplitz equations and Kronecker's algorithm ⋮ Оскуляторний інтерполяційний ланцюговий дріб Тіле ⋮ Ein verallgemeinerter Kettenbruch-Algorithmus zur rationalen Hermite- Interpolation ⋮ A Fitzpatrick algorithm for multivariate rational interpolation ⋮ Convergence analysis of Padé approximations for Helmholtz frequency response problems ⋮ On the use of Kronecker's algorithm in the generalized rational interpolation problem ⋮ A useful identity for the rational Hermite interpolation table ⋮ On the Newton-Padé approximation problem ⋮ General order Newton-Padé approximants for multivariate functions ⋮ Newton-Padé approximations for multivariate functions

Cites Work

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• A new look at the Padé table and the different methods for computing its elements
• An extension of Saff's theorem on the convergence of interpolating rational functions
• On the Osculatory Rational Interpolation Problem
• Computation of the padé table
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis