Computing the Dimension of Real Algebraic Sets-Reference-Cited by-同舟云学术

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Computing the Dimension of Real Algebraic Sets

Published:2021-07-18 Issue: Volume: Page:
ISSN:
Container-title:Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation
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Author:

Lairez Pierre¹,Safey El Din Mohab²

Affiliation:

1. Inria, Palaiseau, France

2. Sorbonne Université, CNRS, LIP6, Équipe PolSys, Paris, France

Funder

EU H2020 research and innovation programme

ANR

Publisher

ACM

Link

https://dl.acm.org/doi/pdf/10.1145/3452143.3465551

Reference31 articles.

1. Polar Varieties, Real Equation Solving, and Data Structures: The Hypersurface Case

2. On the geometry of polar varieties

3. Probabilistic Algorithm for Computing the Dimension of Real Algebraic Sets

4. Computing the dimension of a semi-algebraic set

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1. Deflation Conjecture and Local Dimensions of Brent Equations;Experimental Mathematics;2024-08

2. Algebraic approach to finding the number of parameters required to obtain a bound state in the continuum;Physical Review A;2024-05-20

3. Refined F5 Algorithms for Ideals of Minors of Square Matrices;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

4. Smooth points on semi-algebraic sets;Journal of Symbolic Computation;2023-05

5. A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure;SIAM Journal on Applied Dynamical Systems;2022-06

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