An efficient Newton-type method with fifth-order convergence for solving nonlinear equations

AUTOR(ES)

Fang, Liang, Sun, Li, He, Guoping

FONTE

Computational & Applied Mathematics

DATA DE PUBLICAÇÃO

2008

RESUMO

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√5 which is better than that of Newton's method √2. Several examples demonstrate that the presented algorithm is more efficient and performs better than Newton's method.

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