CD Skripsi
Metode Iterasi Optimal Berorde Empat Untuk Menyelesaikan Persamaan Nonlinear
In this final project, we discuss the derivation of an optimal iterative method
using a quadratic polynomial, which is a review and a correction of a part of
Fern´andez-Torres and V´asquez-Aquino’s article [Advances in Numerical Ana-
lysis, 10: 1-8, 2013]. Analytically we show that the obtained method has an
order of convergence four and requires three function evaluations per iteration,
so that the efficiency index of the method is 1.587. The analytical results are
in agreement with the computational examples. Numerical comparisons show
that the method obtained can compete with the existing fourth order methods.
Keywords: Efficiency index, the order of convergence, the method of order
four, optimal iterative method.
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