119 citations · 269 across the 38 of their papers we have counts for
Showing 2016 · math.ACShow all
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math.AC2016
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…
math.AC2016
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…
math.AC2016★ 6 cited
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…