Yet another eigenvalue algorithm for solving polynomial systems

MR Bender, S Telen - arxiv preprint arxiv:2105.08472, 2021 - arxiv.org
In latest years, several advancements have been made in symbolic-numerical eigenvalue
techniques for solving polynomial systems. In this article, we add to this list. We design an …

A greedy approach to the Canny-Emiris formula

C Checa, I Emiris - Proceedings of the 2022 International Symposium on …, 2022 - dl.acm.org
The Canny-Emiris formula [3] gives the sparse resultant as a ratio between the determinant
of a Sylvester-type matrix and a minor of it, by a subdivision algorithm. The most complete …

Solving sparse polynomial systems using Groebner bases and resultants

MR Bender - Proceedings of the 2022 International Symposium on …, 2022 - dl.acm.org
Solving systems of polynomial equations is a central problem in nonlinear and
computational algebra. Since Buchberger's algorithm for computing Gröbner bases in the …

Mixed subdivisions suitable for the Canny-Emiris formula

C Checa, IZ Emiris - arxiv preprint arxiv:2202.12034, 2022 - arxiv.org
The Canny-Emiris formula gives the sparse resultant as the ratio of the determinant of a
Sylvester-type matrix over a minor of it, both obtained via a mixed subdivision algorithm. The …

Toric Sylvester forms

L Busé, C Checa - Journal of Pure and Applied Algebra, 2024 - Elsevier
In this paper, we investigate the structure of the saturation of ideals generated by sparse
homogeneous polynomials over a projective toric variety X with respect to the irrelevant …

Mixed Subdivisions Suitable for the Greedy Canny–Emiris Formula

C Checa, IZ Emiris - Mathematics in Computer Science, 2024 - Springer
Abstract The Canny–Emiris formula (Canny and Emiris in International symposium on
applied algebra, algebraic algorithms, and error-correcting codes, 1993) gives the sparse …

[PDF][PDF] A Complete Bibliography of Publications in the SIAM Journal on Applied Algebra and Geometry

NHF Beebe - 2024 - netlib.org
A Complete Bibliography of Publications in the SIAM Journal on Applied Algebra and
Geometry Page 1 A Complete Bibliography of Publications in the SIAM Journal on Applied …