A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders

Abstract EN

We construct a biparametric family of fourth-order iterative methods to compute multiple roots of nonlinear equations.

This method is verified to be optimally convergent.

Variousnonlinear equations confirm our proposed method with order of convergence of four and show that the computed asymptotic error constant agrees with the theoretical one.