The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
We describe a very simple “somewhat homomorphic” encryption scheme using only elementary modular arithmetic, and use Gentry’s techniques to convert it into a fully homomorph...
Marten van Dijk, Craig Gentry, Shai Halevi, Vinod ...
Approximate symbolic computation problems can be formulated as constrained or unconstrained optimization problems, for example: GCD [3, 8, 12, 13, 23], factorization [5, 10], and ...
This paper presents a duality analysis and an algorithm for computing the multiplicity structure of a zero to a polynomial system, while the zero can be exact or approximate with ...