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Optimal interval length for the collocation of the Newton interpolation basis

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Publication:2334808
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DOI10.1007/s11075-018-0632-xzbMath1429.41002arXiv1709.06787OpenAlexW2901007905WikidataQ128920683 ScholiaQ128920683MaRDI QIDQ2334808

J. M. Carnicer, Juan Manuel Peña, Y. Khiar

Publication date: 8 November 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06787

zbMATH Keywords

divided differencesNewton interpolation formula


Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Interpolation in approximation theory (41A05)


Related Items

Newton interpolation using \(\Re \)-Leja sequences


Uses Software

  • mctoolbox
  • DLMF


Cites Work

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  • A fast and accurate algorithm for solving Bernstein-Vandermonde linear systems
  • Norm estimates for inverses of Vandermonde matrices
  • Optimal stability of the Lagrange formula and conditioning of the Newton formula
  • Total positivity of recursive matrices
  • Conditioning and accurate computations with Pascal matrices
  • Revisiting the Pascal Matrix
  • A Matrix Approach to the Newton Formula and Divided Differences
  • Barycentric Lagrange Interpolation
  • Pascal Matrices
  • Accuracy and Stability of Numerical Algorithms
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