Third order iterative methods free from second derivative for nonlinear systems
A family of predictor-corrector methods free from second derivative for solving nonlinear systems is presented. It's proven that the methods of this family are of third-order convergence. The numerical tests that allow to compare these methods with Newton's method are performed. In addition, the numerical examples improve theoretical results, showing super cubic convergence for some methods of this family.
scientific article; zbMATH DE number 5612874
scientific article