On the extrapolation of perturbation series
Computational Physics
2021-04-08 v1 Numerical Analysis
Chemical Physics
Abstract
We discuss certain special cases of algebraic approximants that are given as zeroes of so-called "effective characteristic polynomials" and their generalization to a multiseries setting. These approximants are useful for the convergence acceleration or summation of quantum mechanical perturbation series. Examples will be given and some properties will be discussed.
Cite
@article{arxiv.physics/0212086,
title = {On the extrapolation of perturbation series},
author = {Herbert H. H. Homeier},
journal= {arXiv preprint arXiv:physics/0212086},
year = {2021}
}
Comments
16 pages, requires kluwer.cls, Talk presented at the International Conference on Rational Approximation (ICRA99), Antwerpen, Belgium, 1999