Copyright © 2012 Diyashvir Kreetee Rajiv Babajee and Rajinder Thukral. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A one-parameter 4-point sixteenth-order King-type family of iterative methods which satisfy
the famous Kung-Traub conjecture is proposed. The convergence of the family is proved, and numerical
experiments are carried out to find the best member of the family. In most experiments, the best member
was found to be a sixteenth-order Ostrowski-type method.