The binary algorithm is a variant of the Euclidean algorithm that performs well in practice. We present a quasi-linear time recursive algorithm that computes the greatest common di...
When facing dynamic optimization problems the goal is no longer to find the extrema, but to track their progression through the space as closely as possible. Over these kind of ov...
Carlos Fernandes, Agostinho C. Rosa, Vitorino Ramo...
On the lines of the binary gcd algorithm for rational integers, algorithms for computing the gcd are presented for the ring of integers in Q( √ d) where d ∈ {−2, −7, −11,...
We prove that to find a nontrivial integer linear relation between vectors of a lattice L IRn , whose euclidean length is at most M, one needs O n5+ (ln Mn/)1+ binary operations f...