BEBERAPA METODE ITERASI ORDE TIGA DAN ORDE EMPAT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR
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Date
2016-02-04
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Abstract
This article discusses the iterative method by combining two Newton’s methods
where the second step of Newton’s method is given a weighted function. By pro-
viding specific requirements for this weighting function, it is shown using Taylor
expansion and geometric series that the iterative method have third and fourth or-
der of convergence. By choosing specific weighting functions, some known iterative
methods are found. Then some numerical simulations are performed to compare the
number of iterations of each discussed method
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Keywords
Newton’s method, nonlinear equation, order of convergence, iterative methods