A numerical study of Newton interpolation with extremely high degrees

DOI10.14736/kyb-2018-2-0279zbMath1449.65010arXiv1609.08839OpenAlexW2963286998MaRDI QIDQ4568266

Oliver Vogel, Michael Breuß, Friedemann Kemm

Publication date: 15 June 2018

Published in: Kybernetika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08839

zbMATH Keywords

Chebyshev nodespolynomial interpolationNewton interpolationinterpolation nodesfast Leja pointsLeja ordering

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Uses Software

• Matlab

Cites Work

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• Newton interpolation at Leja points
• Fast Leja points
• On the evaluation of polynomial coefficients
• Adaptive Richardson iteration based on Leja points
• Iterative methods for the computation of a few eigenvalues of a large symmetric matrix
• On the inversion of the Vandermonde matrix
• Stability Analysis of Algorithms for Solving Confluent Vandermonde-Like Systems
• High Degree Polynomial Interpolation in Newton Form
• A practical guide to splines.

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