Validated Numerics for Algebraic Path Tracking
Résumé
Using validated numerical methods, interval arithmetic and Taylor models, we propose a certified predictor-corrector loop for tracking zeros of polynomial systems with a parameter. We provide a Rust implementation which shows tremendous improvement over existing software for certified path tracking.
Domaines
Analyse numérique [cs.NA]| Origine | Fichiers produits par l'(les) auteur(s) |
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