A Kantorovich-type convergence analysis for the Gauss-Newton-Method

We present a (semilocal) "Kantorovich-type" convergence analysis for the Gauss-Newton-Method which reduces to the wellknown Newton-Kantorovich-Theorem for the Newton-Method in a natural way. Additionnally a classification of the nonlinear regression problem into "adequate" and "not-adequate" models is obtained.