English

Generalized Vandermonde's system and Lagrange's interpolation

Numerical Analysis 2007-09-14 v1

Abstract

We give explicit formulas as well as a quadratic time algorithm to solve (so called) generalized Vandermonde's systems of p linear equations and n variables. It allows in particular to find all (so called Lagrange's) interpolation polynoms with degree n-1 taking given values in p distinct points.

Keywords

Cite

@article{arxiv.0709.2153,
  title  = {Generalized Vandermonde's system and Lagrange's interpolation},
  author = {Jean-Philippe Preaux and Jacques Raout},
  journal= {arXiv preprint arXiv:0709.2153},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-06-21T09:17:20.749Z