Fast and accurate approximations to fractional powers of operators
Numerical Analysis
2024-03-19 v1 Numerical Analysis
Abstract
In this paper we consider some rational approximations to the fractional powers of self-adjoint positive operators, arising from the Gauss-Laguerre rules. We derive practical error estimates that can be used to select a priori the number of Laguerre points necessary to achieve a given accuracy. We also present some numerical experiments to show the effectiveness of our approaches and the reliability of the estimates.
Keywords
Cite
@article{arxiv.2004.09793,
title = {Fast and accurate approximations to fractional powers of operators},
author = {Lidia Aceto and Paolo Novati},
journal= {arXiv preprint arXiv:2004.09793},
year = {2024}
}