Abstract
This paper introduces the character of several familiar iterative methods for solving nonlinear equations, and gives numerical examples by MATLAB. The first section describes the background and significance of the iterative methods. The second part describes the principles of several iterative methods, such as fixed-point iteration, Newton method, secant method, Steffensen method and so on. The third part focuses on the convergence theorems of iterative methods, including the local convergence and global convergence. The next section mainly deals with the local convergence of Steffensen method. At last, we discuss some numerical examples.
Keywords:Iterative method; Newton method; Steffensen iteration method