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Barycentric Pad\'e approximation

Numerical Analysis 2013-11-26 v2

Abstract

In this paper, we show how any Pad\'e approximant [p/q]f[p/q]_f of a formal power series ff can be written under two different barycentric rational forms. These form depend on p+q+1p+q+1 parameters which can be almost arbitrarily chosen.

Cite

@article{arxiv.1307.4245,
  title  = {Barycentric Pad\'e approximation},
  author = {Claude Brezinski and Michela Redivo-Zaglia},
  journal= {arXiv preprint arXiv:1307.4245},
  year   = {2013}
}

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R2 v1 2026-06-22T00:52:13.974Z