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Series Prediction based on Algebraic Approximants

Numerical Analysis 2021-12-14 v1 Computational Physics

Abstract

It is described how the Hermite-Pad\'e polynomials corresponding to an algebraic approximant for a power series may be used to predict coefficients of the power series that have not been used to compute the Hermite-Pad\'e polynomials. A recursive algorithm is derived and some numerical examples are given.

Keywords

Cite

@article{arxiv.1107.2406,
  title  = {Series Prediction based on Algebraic Approximants},
  author = {Herbert H. H. Homeier},
  journal= {arXiv preprint arXiv:1107.2406},
  year   = {2021}
}

Comments

9 pages, ISRN Applied Mathematics, in press

R2 v1 2026-06-21T18:35:49.078Z