Inverse Iterative Methods for Solving Nonlinear Equations

Abstract

In his work we present an approach for obtaining new iterative methods for solving nonlinear equations. This approach can be applicable to arbitrary iterative process which is linearly or quadratically convergent. Analysis of convergence of the new methods demonstrates that the new method preserve the convergence conditions of primitive functions. Numerical examples are given to illustrate the efficiency and performance of presented methods.

Keywords

• Nonlinear equations
• Iterative methods
• Order of convergence
• Newton method