A new formal approach to the rational interpolation problem
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Publication:1203412
DOI10.1007/BF01396222zbMath0765.65016OpenAlexW1976887220MaRDI QIDQ1203412
Marc Van Barel, Adhemar Bultheel
Publication date: 8 February 1993
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133644
Approximation by rational functions (41A20) Padé approximation (41A21) Interpolation in approximation theory (41A05) Algorithms for approximation of functions (65D15)
Related Items
The multipoint Padé table and general recurrences for rational interpolation ⋮ The general rational interpolation problem in the scalar case and its Hankel vector ⋮ The set of unattainable points for the rational Hermite interpolation problem ⋮ Recursiveness in matrix rational interpolation problems ⋮ A generalized minimal partial realization problem ⋮ Paired Cauchy matrices ⋮ The multipoint Padé approximation problem and its Hankel vector
Cites Work
- A new approach to the rational interpolation problem
- Rational interpolation and state-variable realizations
- On the solution of the minimal rational interpolation problem
- Certain continued fractions associated with the Padé table
- Expansion of power series into \(P\)-fractions
- A new approach to the rational interpolation problem: The vector case
- Matrix Padé approximation: Definitions and properties
- Rational interpolation and the Euclidean algorithm
- Reliable rational interpolation
- The rational interpolation problem revisited
- Extrapolation to the limit by using continued fraction interpolation
- On the structure of the Newton-Padé table
- Continued fractions associated with the Newton-Padé table
- A reliable and numerically stable program for rational interpolation of Lagrange data
- Über monotone Matrixfunktionen
- An algorithm for rational interpolation similar to the qd-algorithm
- Der Quotienten-Differenzen-Algorithmus
- On the Scalar Rational Interpolation Problem
- Practical, Reliable, Rational Interpolation
- The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
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