English

Lagrange interpolation at real projections of Leja sequences for the unit disk

Numerical Analysis 2012-01-04 v1

Abstract

We show that the Lebesgue constant of the real projection of Leja sequences for the unit disk grows like a polynomial. The main application is the first construction of explicit multivariate interpolation points in [1,1]N[-1,1]^N whose Lebesgue constant also grows like a polynomial.

Keywords

Cite

@article{arxiv.1102.3629,
  title  = {Lagrange interpolation at real projections of Leja sequences for the unit disk},
  author = {Jean-Paul Calvi and Phung Van Manh},
  journal= {arXiv preprint arXiv:1102.3629},
  year   = {2012}
}

Comments

12 pages, 2 figures