The basic LU factorization with row pivoting, applied to a rectangular Vandermonde-like matrix of an admissible mesh on a multidimensional compact set, extracts from the mesh the so-called Discrete Leja Points, and provides at the same time a Newton-like interpolation formula. Working on the mesh, we obtain also a good approximate estimate of the interpolation error.
On Multivariate Newton Interpolation at Discrete Leja Points
DE MARCHI, STEFANO;SOMMARIVA, ALVISE;VIANELLO, MARCO
2011
Abstract
The basic LU factorization with row pivoting, applied to a rectangular Vandermonde-like matrix of an admissible mesh on a multidimensional compact set, extracts from the mesh the so-called Discrete Leja Points, and provides at the same time a Newton-like interpolation formula. Working on the mesh, we obtain also a good approximate estimate of the interpolation error.File in questo prodotto:
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