METODE HOMEIER-NEWTON DENGAN ORDE KONVERGENSI ENAM UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR
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Date
2023-11
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Elfitra
Abstract
This article discusses a three-step iteration method obtained from the third-order
Homeier method by adding a Newton step and approximating the derivative in
last step of iteration by using linear interpolation. Convergence analysis shows
that the resulting method has a convergence order of six with an efficiency index
of 1.5651. Computational tests concluded that this method can be used as an
alternative method in solving nonlinear equations.
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Keywords
nonlinear equations, Newton method, Homeier method, order of convergence, efficiency index
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