The multivariate Horner scheme revisited

DOI10.1007/s10543-014-0533-xzbMath1337.65019OpenAlexW1990097712MaRDI QIDQ906952

Johannes Czekansky, Thomas Sauer

Publication date: 1 February 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0533-x

zbMATH Keywords

Horner schememultivariate polynomialbackwards stabilitycomputational complexit

Mathematics Subject Classification ID

Related Items (5)

Lagrange multivariate polynomial interpolation: a random algorithmic approach ⋮ Matrix methods for the simplicial Bernstein representation and for the evaluation of multivariate polynomials ⋮ Numerical computation of H-bases ⋮ Prony's method in several variables ⋮ Multivariate Polynomial Interpolation in Newton Forms

Uses Software

• mctoolbox

Cites Work

• Efficient evaluation of multivariate polynomials
• Computational aspects of multivariate polynomial interpolation
• Computational aspects of multivariate polynomial interpolation: Indexing the coefficients
• On the Multivariate Horner Scheme
• Accuracy and Stability of Numerical Algorithms
• On the multivariate Horner scheme. II: Running error analysis

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