An iterative approach to barycentric rational Hermite interpolation

DOI10.1007/s00211-018-0986-yzbMath1478.65010OpenAlexW2876748927WikidataQ129545889 ScholiaQ129545889MaRDI QIDQ1616035

Kai Hormann, Emiliano Cirillo

Publication date: 31 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00211-018-0986-y

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (5)

A barycentric trigonometric Hermite interpolant via an iterative approach ⋮ On the Lebesgue constant of barycentric rational Hermite interpolants at equidistant nodes ⋮ Convergence rates of a family of barycentric rational Hermite interpolants and their derivatives ⋮ Convergence rates of a Hermite generalization of Floater-Hormann interpolants ⋮ A convergent family of bivariate Floater-Hormann rational interpolants

Uses Software

• MPFR

Cites Work

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• Convergence rates of a family of barycentric osculatory rational interpolation
• Convergence rates of derivatives of a family of barycentric rational interpolants
• Hermite interpolation: The barycentric approach
• Pyramid algorithms for barycentric rational interpolation
• Convergence rates of derivatives of Floater-Hormann interpolants for well-spaced nodes
• Barycentric rational interpolation with no poles and high rates of approximation
• Linear Rational Finite Differences from Derivatives of Barycentric Rational Interpolants
• MPFR
• Some New Aspects of Rational Interpolation

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