On the Selection of a Transversal to Solve Nonlinear Systems with Interval Arithmetic

International audienceThis paper investigates the impact of the selection of a transversal on the speed of convergence of interval methods based on the nonlinear Gauss-Seidel scheme to solve nonlinear systems of equations. It is shown that, in a marked contrast with the linear case, such a selection does not speed-up the computation in the general case; directions for researches on more flexible methods to select projections are then discussed