Kim, S. A Kantorovich-type convergence analysis for the quasi-Gauss-Newton method. (English) Zbl 0872.65044 J. Korean Math. Soc. 33, No. 4, 865-878 (1996). The author considers a quasi-Gauss-Newton-method for finding a solution to a system of nonlinear algebraic equations \(f(x)=0\) in \(\mathbb{R}^n\). He shows theoretically that the iterates \(x_k\) converge to a root by means of a Kantorovich-type convergence analysis with a superlinear rate of convergence. Reviewer: H.Benker (Merseburg) Cited in 2 Documents MSC: 65H10 Numerical computation of solutions to systems of equations 26C10 Real polynomials: location of zeros 12Y05 Computational aspects of field theory and polynomials (MSC2010) Keywords:quasi-Gauss-Newton-method; system; algebraic equations; convergence PDF BibTeX XML Cite \textit{S. Kim}, J. Korean Math. Soc. 33, No. 4, 865--878 (1996; Zbl 0872.65044)