Corrigendum to “On a family of Laguerre methods to find multiple roots of nonlinear equations”

摘要

This is a note to correct the typographical errors in our paper. Dr. Xiaojian Zhou has emailed us “…we have some confusions on the results of S(z) (or S(u)). For example, for Osada’s method, you have S(z)=z3[(m-1)z+2m] as shown in Theorem 2.5, but we have S(z)=z3[(m-1)z+2m]2mz+m-1 where there is a denominator. We have checked all the conjugacy maps S(z) and we present the corrected theorems.