Series Prediction based on Algebraic Approximants

Details Series Prediction based on Algebraic Approximants Series Prediction based on Algebraic Approximants

2011-07-12

arxiv.org/abs/1107.2406v1

ISRN Applied Mathematics, vol. 2011, Article ID 958968, 7 pages, 2011

Mathematics

Numerical Analysis

9 pages, ISRN Applied Mathematics, in press

Scientific paper

10.5402/APPMATH 10.5402/2011/958

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.

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