MODIFIKASI METODE NEWTON DENGAN MEMORI DAN PARAMETER AKSELERASI UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR
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Date
2020-12
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Abstract
This article discusses a modification of the Newton method with memory using the
acceleration parameter to solve nonlinear equations. Modification is made by repla-
cing the invariant parameter in the modified Newton method without memory with
the acceleration parameter. The analysis of convergence shows that the convergene
order of the proposed method is of 1 + √2. Furthermore, to see the superiority of
the method, computational tests are carried outs using five test functions by varying
the initial values.
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Keywords
Newton’s method, nonlinear equation, order of convergence, accelera- ting parameter, computational efficiency, computational efficiency