Truncated normal forms for solving polynomial systems: Generalized and efficient algorithms

Author:

Mourrain Bernard,Telen Simon,Van Barel Marc

Funder

Research Council, KU Leuven

Fund for Scientific Research–Flanders

EOS Project

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference28 articles.

1. Numerically Solving Polynomial Systems with Bertini;Bates,2013

2. A fast recursive orthogonalization scheme for the Macaulay matrix;Batselier;J. Comput. Appl. Math.,2014

3. Solving Polynomial Equations: Foundations, Algorithms, and Applications;Cattani,2005

4. A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots;Corless,1997

5. Ideals, Varieties, and Algorithms, vol. 3;Cox,1992

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1. A Fast Algorithm for Computing Macaulay Null Spaces of Bivariate Polynomial Systems;SIAM Journal on Matrix Analysis and Applications;2024-01-24

2. Analysis of normal-form algorithms for solving systems of polynomial equations;Journal of Computational and Applied Mathematics;2022-09

3. Toric eigenvalue methods for solving sparse polynomial systems;Mathematics of Computation;2022-06-30

4. Numerical root finding via Cox rings;Journal of Pure and Applied Algebra;2020-09

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