Roundoff errors for polynomial evaluation by a family of formulae

DOI10.1007/s00607-008-0007-6zbMath1152.65019OpenAlexW1983110277MaRDI QIDQ938341

J. M. Carnicer, Juan Manuel Peña, Tim N. T. Goodman

Publication date: 19 August 2008

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-008-0007-6

zbMATH Keywords

Lagrange interpolationpolynomial interpolationhigh relative accuracybarycentric formrounding errors analysis

Mathematics Subject Classification ID

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

Related Items (1)

Weighted interpolation for equidistant nodes

Uses Software

• mctoolbox

Cites Work

• Algorithms for polynomials in Bernstein form
• Error analysis of corner cutting algorithms
• Computing the singular value decomposition with high relative accuracy
• On the Multivariate Horner Scheme
• Barycentric Lagrange Interpolation
• The numerical stability of barycentric Lagrange interpolation
• Accuracy and Stability of Numerical Algorithms
• On the multivariate Horner scheme. II: Running error analysis

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