Implementing real polyhedral homotopy
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866916273400578048 |
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| author | Lee, Kisun Lindberg, Julia Rodriguez, Jose Israel |
| author_facet | Lee, Kisun Lindberg, Julia Rodriguez, Jose Israel |
| contents | We implement a real polyhedral homotopy method using three functions. The first function provides a certificate that our real polyhedral homotopy is applicable to a given system; the second function generates binomial systems for a start system; the third function outputs target solutions from the start system obtained by the second function. This work realizes the theoretical contributions in \cite{ergur2019polyhedral} as easy to use functions, allowing for further investigation into real homotopy algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_05323 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Implementing real polyhedral homotopy Lee, Kisun Lindberg, Julia Rodriguez, Jose Israel Algebraic Geometry Numerical Analysis Combinatorics 65H14 We implement a real polyhedral homotopy method using three functions. The first function provides a certificate that our real polyhedral homotopy is applicable to a given system; the second function generates binomial systems for a start system; the third function outputs target solutions from the start system obtained by the second function. This work realizes the theoretical contributions in \cite{ergur2019polyhedral} as easy to use functions, allowing for further investigation into real homotopy algorithms. |
| title | Implementing real polyhedral homotopy |
| topic | Algebraic Geometry Numerical Analysis Combinatorics 65H14 |
| url | https://arxiv.org/abs/2207.05323 |