CD Skripsi
Metode Iterasi Dua Langkah Dengan Orde Kekonvergenan Enam Untuk Menyelesaikan Persamaan Nonlinear
This final project discusses a two-step iterative method to solve a nonlinear
equation. The method is obtained by substituting the quadratic formula into
Taylor expansion, then the second derivative that appears in the formula is
estimated using a cubic polynomial. Analytically it is showed, using the Taylor
expansion, geometric series and binomial series that the iterative method has
the convergence of order six and requires four function evaluations for each
iteration. The proposed method is optimal and based on its efficiency index
1.57. Numerical computations show that the new method is comparable to the
other discussed six-order methods.
Keywords: Iterative methods, nonlinear equation, order convergence,
Newton’s method
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