Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative
Finding the zeros of a nonlinear equation on an interval is one of the most important problem in numerical analysis. A modified Newton method for multiple zeros studied in this paper. An estimate for the convergence radius of this method when the involved function satisfies a Hölder and center-Hölder continuity condition is obtained. Numerical examples illustrate these results.
scientific article; zbMATH DE number 5804917
scientific article