Computing differential subresultants with Maple
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908694408593408 |
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| author | Cabellos, M. Rueda, S. L. |
| author_facet | Cabellos, M. Rueda, S. L. |
| contents | We review the definition and main properties of differential subresultants in order to achieve their implementation in Maple, using the DEtools package. The focus is on computing GCRDs of ordinary differential operators with non necessarily rational coefficients. Determinant expressions provide explicit control, enabling the treatment of coefficients with parameters. Applications to commuting ordinary differential operators illustrate the effectiveness of the method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05133 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Computing differential subresultants with Maple Cabellos, M. Rueda, S. L. Symbolic Computation 13P15, 12H05 We review the definition and main properties of differential subresultants in order to achieve their implementation in Maple, using the DEtools package. The focus is on computing GCRDs of ordinary differential operators with non necessarily rational coefficients. Determinant expressions provide explicit control, enabling the treatment of coefficients with parameters. Applications to commuting ordinary differential operators illustrate the effectiveness of the method. |
| title | Computing differential subresultants with Maple |
| topic | Symbolic Computation 13P15, 12H05 |
| url | https://arxiv.org/abs/2512.05133 |