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02/16/2023
A Direttissimo Algorithm for Equidimensional Decomposition
We describe a recursive algorithm that decomposes an algebraic set into ...
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02/28/2022
A Signature-based Algorithm for Computing the Nondegenerate Locus of a Polynomial System
Polynomial system solving arises in many application areas to model non-...
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02/27/2022
New efficient algorithms for computing Gröbner bases of saturation ideals (F4SAT) and colon ideals (Sparse-FGLM-colon)
This paper is concerned with linear algebra based methods for solving ex...
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04/08/2021
msolve: A Library for Solving Polynomial Systems
We present a new open source C library dedicated to solving multivariat...
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11/05/2019
Breaking the Hidden Irreducible Polynomials Scheme
In 2019 Gómez described a new public key cryptography scheme based on id...
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04/10/2017
Modular Techniques For Noncommutative Gröbner Bases
In this note, we extend modular techniques for computing Gröbner bases f...
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02/19/2016