Applications of QR-based Vector-Valued Rational Approximation
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908800796065792 |
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| author | Dirckx, Simon |
| author_facet | Dirckx, Simon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_23237 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Applications of QR-based Vector-Valued Rational Approximation Dirckx, Simon Numerical Analysis Mathematical Software 41A20, 41A63, 65D15, 65D05, 65D32 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. |
| title | Applications of QR-based Vector-Valued Rational Approximation |
| topic | Numerical Analysis Mathematical Software 41A20, 41A63, 65D15, 65D05, 65D32 |
| url | https://arxiv.org/abs/2601.23237 |