KOMBINASI METODE ABABNEH DAN METODE NEWTON DENGAN ORDE KONVERGENSI OPTIMAL UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR
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Date
2019-07-22
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wahyu sari yeni
Abstract
This article discusses an iterative method for solving nonlinear equations, by com-
bining Ababneh's iterative method of order four with Newton's iterative method.
The method has eight order of convergence with three function evaluations and one
rst derivative function evaluation so that based on Traub's conjecture the method
is optimal. Numerical comparisons show that this method is comparable to the
other eighth methods.
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Keywords
Traub’s conjecture, iterative method, Newton’s method, nonlinear equations, order of convergencenear equations, order of convergence