Applications of QR-based Vector-Valued Rational Approximation
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.
Fields of Study & Subjects
Mathematical functions and polynomials
Electromagnetic Scattering and Analysis
Matrix Theory and Algorithms
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 30 January 2026
- Document type
- Preprint