Rational approximations to fractional powers of self-adjoint positive operators
Numerical Analysis
2024-03-19 v1
Abstract
We investigate the rational approximation of fractional powers of unbounded positive operators attainable with a specific integral representation of the operator function. We provide accurate error bounds by exploiting classical results in approximation theory involving Pad\'{e} approximants. The analysis improves some existing results and the numerical experiments proves its accuracy.
Keywords
Cite
@article{arxiv.1807.10086,
title = {Rational approximations to fractional powers of self-adjoint positive operators},
author = {Lidia Aceto and Paolo Novati},
journal= {arXiv preprint arXiv:1807.10086},
year = {2024}
}