Robust formula for \(N\)-point Padé approximant calculation based on Wynn identity

DOI10.1016/j.apnum.2020.06.007zbMath1440.41010arXiv1901.06014OpenAlexW3036481676MaRDI QIDQ2192625

A. M. Varonov, T. M. Mishonov

Publication date: 17 August 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06014

zbMATH Keywords

Padé approximantserror criterionmultipoint Padé approximant\(N\)-point Padé approximantCauchy-Jacobi problemnumerical extrapolationWynn identity

Mathematics Subject Classification ID

Padé approximation (41A21) Algorithms for approximation of functions (65D15)

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Uses Software

• Maple
• Mathematica

Cites Work

• Extrapolation methods theory and practice
• Rational interpolation and best rational approximation
• Symmetric contours and convergent interpolation
• Extrapolation algorithms and Padé approximations: A historical survey
• Algebraic properties of robust Padé approximants
• Upon systems of recursions which obtain among the quotients of the Padé table
• EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
• On Interpolation by Iteration of Proportional Parts, without the Use of Differences
• The Best Multipoint Padé Approximant
• Robust Padé Approximation via SVD
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
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