Applications of QR-based Vector-Valued Rational Approximation
Numerical Analysis
2026-02-02 v1 Mathematical Software
Numerical Analysis
Abstract
Several applications of the QR-AAA algorithm, a greedy scheme for vector-valued rational approximation, are presented. The focus is on demonstrating the flexibility and practical effectiveness of QR-AAA in a variety of computational settings, including Stokes flow computation, multivariate rational approximation, function extension, the development of novel quadrature methods and near-field approximation in the boundary element method.
Cite
@article{arxiv.2601.23237,
title = {Applications of QR-based Vector-Valued Rational Approximation},
author = {Simon Dirckx},
journal= {arXiv preprint arXiv:2601.23237},
year = {2026}
}