Series Prediction based on Algebraic Approximants

Abstract

It is described how the Hermite-Padé 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-Padé polynomials. A recursive algorithm is derived and some numerical examples are given.

9 pages, ISRN Applied Mathematics, in press

References in corpus (2)

• Prediction Properties of Aitken's Iterated Delta^2 Process, of Wynn's Epsilon Algorithm, and of Brezinski's Iterated Theta Algorithm
• Resummation of QED Perturbation Series by Sequence Transformations and the Prediction of Perturbative Coefficients