A general class of one-parametric with memory method for solving nonlinear equations

Abstract

In this work, we have created the four families of memory methods by convergence rates of three, six, twelve, and twenty-four. Every member of the proposed class has a self-accelerator parameter. And, it has approximated by using Newton’s interpolating polynomials. The new iterative with memory methods have a 50% improvement in the order of convergence.