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.
2011
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2479843
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