The Enhanced Fixed Point Method: An Extremely Simple Procedure to Accelerate the Convergence of the Fixed Point Method to Solve Nonlinear Algebraic Equations

This work proposes the Enhanced Fixed Point Method (EFPM) as a straightforward modification to problem of finding an exact or approximate solution for linear nonlinear algebraic equation. The proposal consists providing versatile method that is easy employ and systematic. Therefore, it expected this contributes breaking paradigm effective known has be necessarily long complicated. As matter fact, expresses equation in terms same but multiplied adequate factor, which most times just simple numeric factor. main idea modifying original equation, slightly changing others such way both have solution. Next, modified expressed fixed point proposed parameters are employed accelerate convergence Since Newton results from possible we will see relatively get versions with orders major than two. We convenience procedure.