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Geometric Weakly Admissible Meshes, Discrete Least Squares Approximations and Approximate Fekete Points

Numerical Analysis 2009-02-03 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0902.0215,
  title  = {Geometric Weakly Admissible Meshes, Discrete Least Squares Approximations and Approximate Fekete Points},
  author = {Len Bos and Jean-Paul Calvi and Norm Levenberg and Alvise Sommariva and Marco Vianello},
  journal= {arXiv preprint arXiv:0902.0215},
  year   = {2009}
}

Comments

20 pages, 14 figures