Geometric Weakly Admissible Meshes, Discrete Least Squares Approximations and Approximate Fekete Points
arXiv:0902.0215107 citationsh-index: 29
Originality Synthesis-oriented
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Provides a practical computational tool for multivariate approximation, relevant to numerical analysis and approximation theory.
The paper introduces a method using Geometric Weakly Admissible Meshes and QR factorization to compute efficient points for discrete multivariate least squares approximation and Lagrange interpolation, improving approximation quality.
Using the concept of Geometric Weakly Admissible Meshes together with an algorithm based on the classical QR factorization of matrices, we compute efficient points for discrete multivariate least squares approximation and Lagrange interpolation.