On the conditioning of the Newton formula for Lagrange interpolation (Q2235898)

The authors study the conditioning of the Newton formula for the interpolation polynomial. They expected that the Chebyshev points are the solutions of the problem, but the proofs are not available yet. They use the \(\mathfrak{R}\)-Leja points that give a good stability property for interpolation problems. They are also interested in studying the conditioning associated to a representation of multivariate polynomial interpolation. The definition of the conditioning in the multivariate case is analogous to the univariate case. This study is a very interesting contribution in the field of polynomial interpolation.