Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915420330524672 |
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| author | Riener, Cordian Vu, Thi Xuan |
| author_facet | Riener, Cordian Vu, Thi Xuan |
| contents | Symmetry plays a central role in accelerating symbolic computation involving polynomials. This chapter surveys recent developments and foundational methods that leverage the inherent symmetries of polynomial systems to reduce complexity, improve algorithmic efficiency, and reveal deeper structural insights. The main focus is on symmetry by the permutation of variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23728 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry Riener, Cordian Vu, Thi Xuan Algebraic Geometry Symmetry plays a central role in accelerating symbolic computation involving polynomials. This chapter surveys recent developments and foundational methods that leverage the inherent symmetries of polynomial systems to reduce complexity, improve algorithmic efficiency, and reveal deeper structural insights. The main focus is on symmetry by the permutation of variables. |
| title | Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2507.23728 |