Research – Software
My research domain is computer algebra and more precisely, I am mainly interested in algebraic algorithms for solving polynomial systems and guessing linear recurrence relations.
Software
-
msolve,
with
Ch. Eder,
V. Neiger
and
M. Safey El
Din.
An open-source library for solving polynomial systems, written in C. -
Guessing Linear Recurrence Relations.
A file for guessing linear recurrence relations with constant coefficients of a multidimensional table with the Berlekamp–Massey–Sakata, Artinian Gorenstein border basis and Scalar-FGLM algorithms, written in Maple. -
Isomorphism of Polynomials with One
Secret.
A file for solving Quadratic-IP1S over any finite prime field, written in Maple. -
Convex-dense Bivariate
Factorization.
A file to speed up the factorization of bivariate polynomials, written in Maple. -
Mathemagix.
Contribution to the library algebramix, written in C++. -
Homogeneous Polynomial Ideal Ridge
Computation.
A file for determining the least number of additive polynomials to write a homogeneous algebraic system, written in Maple. -
Multihomogeneous Polynomial Ideal Ridge
Computation.
A file for determining the least number of additive polynomials to write a multihomogeneous algebraic system, written in Maple.