This paper describes an algorithm for the efficient solution of large systems of Boolean equations. The algorithm exploits the fact that, in some cases, the composition operation ...
Let a system of linear ordinary differential equations of the first order Y' = AY be given, where A is n x n matrix over a field F(X), assume that the degree degx(A) < d a...
We introduce a practical synchronous stream cipher with provable security named QUAD. The cipher relies on the iteration of a multivariate quadratic system of m equations in n <...
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equation. ...
The asymptotic convergence of parameterized variants of Newton's method for the solution of nonlinear systems of equations is considered. The original system is perturbed by a...
Nicholas I. M. Gould, Dominique Orban, Annick Sart...