%0 Journal Article
%T An efficient Newton-type method with fifth-order convergence for solving nonlinear equations
%A Liang Fang
%A Li Sun
%A Guoping He
%J Computational and Applied Mathematics
%D 2008
%I 
%X In this paper, we present an efficient Newton-like method with fifth-order convergence for nonlinear equations. The algorithm is free from second derivative and it requires four evaluations of the given function and its first derivative at each iteration. As a consequence, its efficiency index is equal to 4¡Ì5 which is better than that of Newton's method ¡Ì2. Several examples demonstrate that the presented algorithm is more efficient and performs better than Newton's method.
%K Newton's method
%K iterative method
%K nonlinear equations
%K order of convergence
%U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022008000300003