(MOSTLY) COMMUTATIVE ALGEBRA

The set of solutions to a system of polynomial equations is an algebraic variety, the basic object of algebraic geometry. The algorithmic study of algebraic ...







Solving Systems of Polynomial Equations Bernd Sturmfels
The best known algorithm for computing the lexicographical Gröbner basis is in eO(d3n) arithmetic operations where n is the number of variables.
Fast Exhaustive Search for Polynomial Systems in F2 - LIP6 ALMASTY
Section 2 establishes a formal framework of exhaustive search algorithms including useful results on Gray Codes and derivatives of multivariate polynomials.
a concise proof of the kronecker polynomial system solver from scratch
If I and f are homogeneous then q can be chosen so that q(Td) is homogeneous. Therefore all the irreducible factors of µ(Td) are homogeneous, which ...
Solving systems of polynomial equations via Macaulay matrices
Abstract. One approach to solving polynomial systems is to multiply each equation by monomials, which creates a larger system with the co- efficient matrix ...
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