Self-similar power transforms in extrapolation problems
| dc.creator | Gluzman, S. | |
| dc.creator | Yukalov, V. I. | |
| dc.date | 2006-06-05 | |
| dc.date.accessioned | 2026-07-07T07:12:27Z | |
| dc.date.available | 2026-07-07T07:12:27Z | |
| dc.description | 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. | |
| dc.description | Latex file, 10 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0606104 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0606104 | |
| dc.identifier | J. Math. Chem. 39 (2006) 47-56 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112083 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Self-similar power transforms in extrapolation problems | |
| dc.type | text |