From numerical quadrature to Padé approximation

@article{Brezinski2010FromNQ,
  title={From numerical quadrature to Pad{\'e} approximation},
  author={Claude Brezinski},
  journal={Applied Numerical Mathematics},
  year={2010},
  volume={60},
  pages={1209-1220}
}
  • Claude Brezinski
  • Published 2010
  • Mathematics
  • Applied Numerical Mathematics
  • The paper reviews the relation between Pade-type approximants of a power series and interpolatory quadrature formulae with free nodes, and between Pade approximants and Gaussian quadrature methods. Then, it is shown how the Kronrod procedure and the anti-Gaussian quadrature methods could be used for estimating the error in Pade approximation. The @e-algorithm for accelerating the convergence of sequences, and computing recursively Pade approximants is evoked, and its error estimated by the same… CONTINUE READING
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