A signature-based algorithm for computing the nondegenerate locus of a polynomial system-Reference-Cited by-同舟云学术

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A signature-based algorithm for computing the nondegenerate locus of a polynomial system

Published:2023-11 Issue: Volume:119 Page:1-21
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Eder Christian,Lairez Pierre,Mohr Rafael,El Din Mohab Safey

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference46 articles.

1. OSCAR – open source computer algebra research system, version 0.7.1, 2022.

2. On the theories of triangular sets;Aubry;J. Symb. Comput.,1999

3. Gröbner Bases;Becker,1993

4. A library for solving polynomial systems;Berthomieu,2021

5. Julia: a fresh approach to numerical computing;Bezanson;SIAM Rev.,2017

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1. Computing Generic Fibers of Polynomial Ideals with FGLM and Hensel Lifting;Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation;2024-07-16

2. Axioms for a theory of signature bases;Journal of Symbolic Computation;2024-07

3. Signature Gröbner bases in free algebras over rings;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

4. A Direttissimo Algorithm for Equidimensional Decomposition;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

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