Results 11 to 20 of about 4,148,143 (214)

A Gröbner Basis for Schubert Patch Ideals [PDF]

Journal of Algebra, 2021
Emmanuel Neye
openalex   +2 more sources

A novel linear algebra-based method for complex interval linear systems in circuit analysis [PDF]

Heliyon
In this paper, systems of multivariate interval linear equations with complex interval coefficients are examined, and a novel linear algebra-based approach for locating all of their solutions is proposed.
Maryam Farahmand Nejad, Hamed Farahani, Rahele Nuraei   +2 more
doaj   +2 more sources

Optimized Gröbner basis algorithms for maximal determinantal ideals and critical point computations [PDF]

International Symposium on Symbolic and Algebraic Computation
Given polynomials g and f1, …, fp, all in Math 1 for some field Math 2, we consider the problem of computing the critical points of the restriction of g to the variety defined by f1 = ⋅⋅⋅ = fp = 0.
Sriram Gopalakrishnan, Vincent Neiger, Mohab Safey El Din   +2 more
openalex   +2 more sources

Predicting the cardinality and maximum degree of a reduced Gröbner basis [PDF]

arXiv.org, 2023
Shahrzad Jamshidi, Eric Kang, Sonja Petrović   +2 more
openalex   +2 more sources

Fast Gröbner basis computation and polynomial reduction for generic bivariate ideals

ACCA, 2019
Joris van der Hoeven, Robin Larrieu
semanticscholar   +4 more sources

On Gröbner Basis and Cohen-Macaulay Property of Closed Path Polyominoes [PDF]

Electronic Journal of Combinatorics, 2022
In this paper we introduce some monomial orders for the class of closed path polyominoes and we prove that the set of the generators of the polyomino ideal attached to a closed path forms the reduced Gröbner basis with respect to these monomial orders ...
Carmelo Cisto, F. Navarra, R. Utano
semanticscholar   +1 more source

Feynman integral reduction using Gröbner bases

Journal of High Energy Physics, 2023
We investigate the reduction of Feynman integrals to master integrals using Gröbner bases in a rational double-shift algebra Y in which the integration-by-parts (IBP) relations form a left ideal.
Mohamed Barakat, Robin Brüser, Claus Fieker, Tobias Huber, Jan Piclum   +4 more
doaj   +1 more source

Primality of polyomino ideals by quadratic Gröbner basis [PDF]

Mathematische Nachrichten, 2020
In this work, we provide a necessary and sufficient condition on a polyomino ideal for having the set of inner 2‐minors as graded reverse lexicographic Gröbner basis, due to combinatorial properties of the polyomino itself.
Carla Mascia, Giancarlo Rinaldo, F. Romeo   +2 more
semanticscholar   +1 more source

Divisors on graphs, Connected flags, and Syzygies [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
We study the binomial and monomial ideals arising from linear equivalence of divisors on graphs from the point of view of Gröbner theory. We give an explicit description of a minimal Gröbner basis for each higher syzygy module.
Fatemeh Mohammadi, Farbod Shokrieh
doaj   +1 more source

On involutive division on monoids

Discrete and Continuous Models and Applied Computational Science, 2021
We consider an arbitrary monoid MM, on which an involutive division is introduced, and the set of all its finite subsets SetMM. Division is considered as a mapping d:SetMM{d:SetM \times M}, whose image d(U,m){d(U,m)} is the set of divisors of mm in UU ...
Oleg K. Kroytor, Mikhail D. Malykh
doaj   +1 more source