This article discusses a mo dification of a third order Steffensen-typ e method, by adding three different weight functions into the third order Steffensen-type method, so that we obtain three different correction Steffensen-typ e metho ds. These methods are of order three and require three function evaluations p er iteration so that their index of efficiency is 1.587. Computational results show the correction Steffensentype methods are competitive enough in their class.
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