119 citations · 269 across the 38 of their papers we have counts for
4 papers · 1 filter
Products of Ideals and Jet Schemes
Gleb Pogudin
In the present paper, we give a full description of the jet schemes of the polynomial ideal over a field of zero characterist…
Bounds for elimination of unknowns in systems of differential-algebraic equations
Alexey Ovchinnikov, Gleb Pogudin, N. Thieu Vo
Elimination of unknowns in systems of equations, starting with Gaussian elimination, is a problem of general interest. The problem of finding an a priori upper bound for the number…
Complexity of Triangular Representations of Algebraic Sets
Eli Amzallag, Gleb Pogudin, Mengxiao Sun +1
Triangular decomposition is one of the standard ways to represent the radical of a polynomial ideal. A general algorithm for computing such a decomposition was proposed by A. Szant…
New order bounds in differential elimination algorithms
Richard Gustavson, Alexey Ovchinnikov, Gleb Pogudin
We present a new upper bound for the orders of derivatives in the Rosenfeld-Groebner algorithm. This algorithm computes a regular decomposition of a radical differential ideal in t…