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

  • Fang L
  • Sun L
  • He G
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Abstract

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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APA

Fang, L., Sun, L., & He, G. (2008). An efficient Newton-type method with fifth-order convergence for solving nonlinear equations. Clinics, 27(3). https://doi.org/10.1590/s1807-03022008000300003

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