A uniparametric Chebyshev-type method free from second derivatives

In this paper, we present a family of new Chebyshev-type methods free from second derivatives for solving non-linear equations. Analysis of convergence shows that these new methods are cubically convergent. As particular cases, we introduce two efficient methods in this family of the new methods, the practical utility of which is demonstrated by numerical examples. 2005 Elsevier Inc. All rights reserved.