Kantorovich's type theorems for systems of equations with constant rank derivatives
The authors study the Gauss-Newton method for solving a nonlinear systems \(F(x)=0\), where \(F\) is a singular mapping from \(\mathbb{R}^n\) into \(\mathbb{R}^m\). Employing a center Lipschitz continuity condition, a convergence result of Kantorovich-type is shown. Examples are given for quadratic \(F\) with \(n=m=2\).
scientific article; zbMATH DE number 5309283
scientific article