An intrinsic homotopy for intersecting algebraic varieties
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2004
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909853462560768 |
|---|---|
| author | Sommese, Andrew J. Verschelde, Jan Wampler, Charles W. |
| author_facet | Sommese, Andrew J. Verschelde, Jan Wampler, Charles W. |
| contents | Recently we developed a diagonal homotopy method to compute a numerical representation of all positive dimensional components in the intersection of two irreducible algebraic sets. In this paper, we rewrite this diagonal homotopy in intrinsic coordinates, which reduces the number of variables, typically in half. This has the potential to save a significant amount of computation, especially in the iterative solving portion of the homotopy path tracker. There numerical experiments all show a speedup of about a factor two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0404108 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | An intrinsic homotopy for intersecting algebraic varieties Sommese, Andrew J. Verschelde, Jan Wampler, Charles W. Numerical Analysis Algebraic Geometry 65H10; 13P05, 14Q99,68W30 Recently we developed a diagonal homotopy method to compute a numerical representation of all positive dimensional components in the intersection of two irreducible algebraic sets. In this paper, we rewrite this diagonal homotopy in intrinsic coordinates, which reduces the number of variables, typically in half. This has the potential to save a significant amount of computation, especially in the iterative solving portion of the homotopy path tracker. There numerical experiments all show a speedup of about a factor two. |
| title | An intrinsic homotopy for intersecting algebraic varieties |
| topic | Numerical Analysis Algebraic Geometry 65H10; 13P05, 14Q99,68W30 |
| url | https://arxiv.org/abs/math/0404108 |