A Dataset of Nonlinear Equations for Subdivision
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912986767032320 |
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| author | Xu, Juan Lai, Huilong Cheng, Yingying Yang, Wenqiang Chen, Changbo |
| author_facet | Xu, Juan Lai, Huilong Cheng, Yingying Yang, Wenqiang Chen, Changbo |
| contents | In this paper, we report on the largest labelled dataset constructed so far for solving zero-dimensional square nonlinear systems with subdivision-based methods. A brief, non-exhaustive survey with emphasis on the literature from the past two decades is also provided to accompany with the dataset. The value of the dataset has been demonstrated through benchmarking several solvers as well as being used for learning to classify the real roots of nonlinear parametric systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27499 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Dataset of Nonlinear Equations for Subdivision Xu, Juan Lai, Huilong Cheng, Yingying Yang, Wenqiang Chen, Changbo Symbolic Computation In this paper, we report on the largest labelled dataset constructed so far for solving zero-dimensional square nonlinear systems with subdivision-based methods. A brief, non-exhaustive survey with emphasis on the literature from the past two decades is also provided to accompany with the dataset. The value of the dataset has been demonstrated through benchmarking several solvers as well as being used for learning to classify the real roots of nonlinear parametric systems. |
| title | A Dataset of Nonlinear Equations for Subdivision |
| topic | Symbolic Computation |
| url | https://arxiv.org/abs/2603.27499 |