# zbMATH — the first resource for mathematics

A Kantorovich-type convergence analysis for the quasi-Gauss-Newton method. (English) Zbl 0872.65044
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.

##### 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)