Abstract: | Let F be a mapping from R n+1 into R n, x(t) be a parametrization for ∣t ? t0 ∣ < c, of a smooth solution branch of the equation F(x) = 0, A(t) be the jacobian (n + 1) associated to a standard continuation method used for computing the solution branch. We study for a class of singularities at x(t0) the behaviour, near t = t0, of the determinant of A(t). |