Validated numerics for algebraic path tracking
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866907936985448448 |
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| author | Guillemot, Alexandre Lairez, Pierre |
| author_facet | Guillemot, Alexandre Lairez, Pierre |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17973 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Validated numerics for algebraic path tracking Guillemot, Alexandre Lairez, Pierre Numerical Analysis Symbolic Computation 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. |
| title | Validated numerics for algebraic path tracking |
| topic | Numerical Analysis Symbolic Computation |
| url | https://arxiv.org/abs/2401.17973 |