Self-similar power transforms in extrapolation problems
统计力学
2007-05-23 v1
摘要
A method is suggested allowing for the improvement of accuracy of self-similar factor and root approximants, constructed from asymptotic series. The method is based on performing a power transform of the given asymptotic series, with the power of this transformation being a control function. The latter is defined by a fixed-point condition, which improves the convergence of the sequence of the resulting approximants. The method makes it possible to extrapolate the behaviour of a function, given as an expansion over a small variable, to the region of the large values of this variable. Several examples illustrate the effectiveness of the method.
引用
@article{arxiv.cond-mat/0606104,
title = {Self-similar power transforms in extrapolation problems},
author = {S. Gluzman and V. I. Yukalov},
journal= {arXiv preprint arXiv:cond-mat/0606104},
year = {2007}
}
备注
Latex file, 10 pages, no figures