There are very few optimal fourth order methods for solving nonlinear algebraic equations having roots of multiplicity m. In a previous paper we have compared 5 such methods, two of which require the evaluation of the (m−1)th root. We have used the basin of attraction idea to recommend the...

There are very few optimal fourth order methods for solving nonlinear algebraic equations having roots of multiplicity m. Here we compare five such methods, two of which require the evaluation of the (m−1)st root. The methods are usually compared by evaluating the computational efficiency and...