The convergence of quasi-Gauss-Newton methods for nonlinear problems (Q1894950)

This paper considers quasi-Newton-Gauss methods for solving nonlinear algebraic equations \(f : \mathbb{R}^n \to \mathbb{R}^n\), \(f(x) = 0\). A rank-2 update technique of the Jacobian \(f'(x)\) is proposed for the iterations. Convergence and implementation of the method are discussed.