Open AccessJournal Article
Kernel Functions and Meshless Methods
TL;DR: 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.
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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.
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