Abstract
We give a fast method to solve numerically some systems of
nonlinear equations. This method applies basically to all systems
which can be put in the form U∘V(X)=Y, where U and V are two possibly nonlinear operators. It uses a modification of
Newton's algorithm, in the sense that one projects alternatively
onto two subsets. But, here, these subsets are not subspaces any
more, but manifolds in a Euclidean space.