Generalized Vandermonde's system and Lagrange's interpolation

Details Generalized Vandermonde's system and Lagrange's interpolation Generalized Vandermonde's system and Lagrange's interpolation

2007-09-13

arxiv.org/abs/0709.2153v1

Mathematics

Numerical Analysis

7 pages

Scientific paper

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.

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