RMVPIA: a new algorithm for computing the Lagrange multivariate polynomial interpolation

DOI10.1007/s11075-020-00907-8zbMath1444.65005OpenAlexW3012701534MaRDI QIDQ780413

A. Essanhaji, Abderrahim Messaoudi, Mohammed Errachid

Publication date: 15 July 2020

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

Full work available at URL: https://doi.org/10.1007/s11075-020-00907-8

zbMATH Keywords

Sylvester's identityLagrange multivariate polynomial interpolation problem

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items (4)

Lagrange multivariate polynomial interpolation: a random algorithmic approach ⋮ Optimal Hermite-Fejér interpolation of algebraic polynomials and the best one-sided approximation on the interval \([-1,1\)] ⋮ RMVPIA ⋮ Optimal Birkhoff interpolation and Birkhoff numbers in some function spaces

Uses Software

• GRPIA

Cites Work

• Recursive interpolation, extrapolation and projection
• Other manifestations of the Schur complement
• The general Neville-Aitken-algorithm and some applications
• Schur complements and statistics
• A general recurrence interpolation formula and its applications to multivariate interpolation
• On the history of multivariate polynomial interpolation
• Multivariate Hermite interpolation by algebraic polynomials: A survey
• Recursive polynomial interpolation algorithm (RPIA)
• GRPIA: a new algorithm for computing interpolation polynomials
• Manifestations of the Schur complement
• Multivariate Polynomial Interpolation in Newton Forms

This page was built for publication: RMVPIA: a new algorithm for computing the Lagrange multivariate polynomial interpolation