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October 9, 2025Open Access

Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry

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Authors

CRCordian RienerTVThi Xuan Vu

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Overview

This chapter surveys methods enhancing algorithmic efficiency for polynomial systems, emphasizing symmetry in variables.

Key Points

  • Leveraging symmetries can significantly enhance efficiency in symbolic computation involving polynomials.
  • Recent developments have focused on complexity reduction and deeper insights into polynomial systems through symmetry.
  • The chapter highlights foundational methods that emphasize the role of variable permutations in polynomial structures.
  • These strategies not only improve performance but also provide richer understanding of real algebraic geometry.

Cite This Study

Riener et al. (2025) studied this question.

synapsesocial.com/papers/68e7103b90569dd607ee6a2bhttps://doi.org/10.48550/arxiv.2507.23728
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