The structure of the singular solution table of the M-Padé approximation problem

DOI10.1016/0377-0427(90)90411-RzbMath0711.41004OpenAlexW2078315937MaRDI QIDQ923283

Bernhard Beckermann

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90411-r

zbMATH Keywords

Newton-Padé approximationM-Padé approximation

Mathematics Subject Classification ID

Padé approximation (41A21) Interpolation in approximation theory (41A05)

Related Items

Determinants and the structure of the integral approximant table ⋮ Existence of certain sequences of Hermite-Padé approximants ⋮ A look-ahead method for computing vector Padé-Hermite approximants ⋮ On a linear interpolation problem for \(n\)-dimensional vector polynomials ⋮ The computation of non-perfect Padé-Hermite approximants ⋮ Recursiveness in matrix rational interpolation problems ⋮ A superfast algorithm for multi-dimensional Padé systems ⋮ A reliable method for computing M-Padé approximants on arbitrary staircases ⋮ A reliable modification of the cross rule for rational Hermite interpolation ⋮ A uniform approach for Hermite Padé and simultaneous Padé approximants and their matrix-type generalizations ⋮ Rational interpolation with a single variable pole ⋮ Generalized inverses of Hankel and Toeplitz mosaic matrices

Cites Work

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• Recurrence relations in Padé-Hermite approximation
• The general Neville-Aitken-algorithm and some applications
• On the structure of the Newton-Padé table
• On the Newton-Padé approximation problem
• Hermite-Padé approximation (basic notions and theorems)
• Some Properties of a Generalization of the Richardson Extrapolation Process

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