Abstract
In this paper, we present the local results of the convergence of the two-step King-like method to approximate the solution of nonlinear equations. In this study, we only apply conditions to the first derivative, because we only need this condition to guarantee convergence. As a result, the applicability of the method is expanded. We also use different convergence planes to show family behavior. Finally, the new results are used to solve some applications related to chemistry.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference32 articles.
1. Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations
2. Convergence and Application of Newton-Type Iterations;Argyros,2008
3. Numerical methods in Nonlinear Analysis;Argyros,2013
4. Iterative Methods for the Solution of Equations;Traub,1964
5. Computational Solution of Nonlinear Operator Equations;Rall,1979